A differentiable function is defined by

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

Problem

A differentiable function

f

is defined by

f(x)=x^{r}

. Given that

f'(1)=9

, determine

r

and provide a brief explanation of how the value of

r

is obtained.

Related theory

Differentiation Rules
Rules of differentiation
Derivatives
Limits and Derivatives

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