A function is given by

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

Problem

A function

F

is given by

F(x) = C x^{r}

, with constants

C > 0

and

r > 0

. It is known that

F'(1) = 6

and

F'(3) = 54

. Determine

r

Related theory

Exponential & Logarithmic Equations
Differentiation Rules
Rules of differentiation
Derivatives
Limits and Derivatives

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