The function

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

Problem

The function p(x)=kxrp(x)=k x^{r}, where kk and rr are constants, satisfies p(2)=20p(2)=20 and p′(2)=30p'(2)=30. Determine the value of rr.

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