Linda M.

asked • 10/21/21

Consider the function f ( x ) = 5 x 3 − 5 x on the interval [ − 2 , 2 ] . Find the average or mean slope of the function on this interval.

Consider the function f(x)=5x3−5x on the interval [−2,2]. 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 (−2,2) 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   

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