Determine all value(s) in the open interval such that the instantaneous rate of…

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

Problem

Determine all value(s) cc in the open interval (0,4)(0,4) such that the instantaneous rate of change of the function f(x)=x2−3x+2f(x)=x^{2}-3x+2 on the closed interval [0,4][0,4] equals its average rate of change over that interval. Give your answer(s) as exact numbers.

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