How do you find the average rate of change for the function #f(x)= x^3 2x# on the indicated intervals [0, 4]?
I found
By signing up, you agree to our Terms of Service and Privacy Policy
To find the average rate of change of the function ( f(x) = x^3  2x ) on the interval ([0, 4]), you first need to find the values of the function at the endpoints of the interval and then calculate the change in the function value divided by the change in the input variable over that interval.

Evaluate ( f(x) ) at ( x = 0 ) and ( x = 4 ) to find the function values at the endpoints. ( f(0) = (0)^3  2(0) = 0 ) ( f(4) = (4)^3  2(4) = 64  8 = 56 )

Calculate the change in the function value: ( f(4)  f(0) = 56  0 = 56 )

Calculate the change in the input variable: ( 4  0 = 4 )

Finally, divide the change in the function value by the change in the input variable to get the average rate of change: ( \text{Average rate of change} = \frac{f(4)  f(0)}{4  0} = \frac{56}{4} = 14 )
By signing up, you agree to our Terms of Service and Privacy Policy
To find the average rate of change for the function ( f(x) = x^3  2x ) on the interval ([0, 4]), you first find the values of the function at the endpoints of the interval, then calculate the difference in the function values, and finally divide by the difference in the input values.
( f(0) = (0)^3  2(0) = 0 )
( f(4) = (4)^3  2(4) = 64  8 = 56 )
Difference in function values: ( 56  0 = 56 )
Difference in input values: ( 4  0 = 4 )
Average rate of change: ( \frac{56}{4} = 14 )
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
 What is the equation of the normal line of #f(x)=2x^3+18x^225x# at #x=1/3#?
 How do you find the equation of the tangent line to the curve when x has the given value: #f(x) = 6 – x^2# ; x = 7?
 How do you use the limit definition to find the slope of the tangent line to the graph #F(x) = ((12) / (x  9)) # at (3,2)?
 How do you find the equation of a line normal to the function #y=sqrtx(1x)^2# at x=4?
 What is the equation of the line normal to #f(x)=2x^2x  1# at #x=5#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7