# What is the instantaneous rate of change of #f(x)=6x^2-3x # at #x=3#?

The instantaneous rate of change of

is

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To findTo find theTo find the instantaneous rateTo find the instantaneous rate ofTo find the instantaneous rate of changeTo find the instantaneous rate of change ofTo find the instantaneous rate of change of (To find the instantaneous rate of change of ( fTo find the instantaneous rate of change of ( f(xTo find the instantaneous rate of change of ( f(x)To find the instantaneous rate of change of ( f(x) =To find the instantaneous rate of change of ( f(x) = To find the instantaneous rate of change of ( f(x) = 6To find the instantaneous rate of change of ( f(x) = 6xTo find the instantaneous rate of change of ( f(x) = 6x^To find the instantaneous rate of change of ( f(x) = 6x^2To find the instantaneous rate of change of ( f(x) = 6x^2 -To find the instantaneous rate of change of ( f(x) = 6x^2 - To find the instantaneous rate of change of ( f(x) = 6x^2 - 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x )To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) atTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ),To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), weTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we firstTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first needTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we needTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need toTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need toTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to findTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to findTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find theTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find theTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivativeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivativeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the functionTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function.To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. TheTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivativeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) )To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) withTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a functionTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respectTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function representsTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect toTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents itsTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rateTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of changeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) andTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change atTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and thenTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any givenTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluateTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given pointTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate itTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point.To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it atTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. UsingTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using theTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the powerTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power ruleTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule forTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiationTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation,To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ).To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, weTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). TheTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we getTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivativeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) )To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) isTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \fracTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dxTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x -To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) -To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \fracTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ).To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). WhenTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{dTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ),To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now,To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, toTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) -To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to findTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find theTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneousTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rateTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of changeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change atTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of changeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change ofTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x)To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ),To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) )To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), weTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) atTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substituteTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( xTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x =To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 )To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 )To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) isTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 ) intoTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) is (To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 ) into theTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) is ( To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 ) into the derivativeTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) is ( 33To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 ) into the derivative:

To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) is ( 33 \To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 ) into the derivative:

[To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) is ( 33 ).To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

Now, to find the instantaneous rate of change at ( x = 3 ), we substitute ( x = 3 ) into the derivative:

[ fTo find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we need to find the derivative of ( f(x) ) with respect to ( x ) and then evaluate it at ( x = 3 ). The derivative of ( f(x) ) is ( f'(x) = 12x - 3 ). When ( x = 3 ), ( f'(3) = 12(3) - 3 = 33 ). Therefore, the instantaneous rate of change of ( f(x) ) at ( x = 3 ) is ( 33 ).To find the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ), we first need to find the derivative of the function. The derivative of a function represents its rate of change at any given point. Using the power rule for differentiation, we get:

[ f'(x) = \frac{d}{dx}(6x^2) - \frac{d}{dx}(3x) ] [ f'(x) = 12x - 3 ]

[ f'(3) = 12(3) - 3 ] [ f'(3) = 36 - 3 ] [ f'(3) = 33 ]

So, the instantaneous rate of change of ( f(x) = 6x^2 - 3x ) at ( x = 3 ) is ( 33 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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