SOLUTION: let f(x)= e^(x^2). at how many points in the closed interval [3,-3], does the instantaneous rateof change of f equal the average rate of change of f?

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Question 564698: let f(x)= e^(x^2). at how many points in the closed interval [3,-3], does the instantaneous rateof change of f equal the average rate of change of f?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!


Hence we want to find all points in [-3,3] such that f'(x) = 0. By the chain rule, we have



This is equal to zero only when x = 0 (since e^(x^2) can never equal zero). There is only one point that satisfies.