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

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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 ]

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

[ 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 ).