Question: Consider the function f ( x ) = 2 x 3 - 2 x on the interval - 4 , 4 . Find the average

Consider the function f(x)=2x3-2x on the interval -4,4. Find the average or mean slope of the function on this interval.
By the Mean Value Theorem, we know there exists at least one c in the open interval (-4,4) such that f'(c) is equal to this mean slope.
For this problem, there are two values of c that work.
The smaller one is and the larger one is
Consider the function f ( x ) = 2 x 3 - 2 x on

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