For the function

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For the function f(x)=x3f(x)=x^{3}, determine the non-zero value of hh such that the average rate of change of ff over the interval [−1,−1+h][-1,-1+h] equals the instantaneous rate of change at x=−1x=-1.

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