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AP® Calculus AB-BC

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Using a Table to Compute a Derivative of Composed Function

APCALC-ZP9VGD

The table below gives values of $F'(x)$ on the interval $[-1,1]$, where $F(x)$ is a continuous, differentiable function.

If $G(x)=F(6x-1)$, what is $G'(0.1)$?

$$x \hspace{1cm}$$ -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8
$F'(x)$ -1.5 -1 -0.5 0 0.5 1 1.5 1 0.5
A

$-3$

B

$-0.4$

C

$0$

D

$6$