Question: Consider the function f(x) = 58x2 on the interval [- 2,4]. Find the average or mean slope of the function on this interval, i.e.

Consider the function f(x) = 58x2 on the interval [- 2,4]. Find the average or mean slope of the function on this interval, i.e. f(4) - f(-2) 4-(-2) == By the Mean Value Theorem, we know there exists a c in the open interval (2, 4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

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