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AP® Calculus AB-BC

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Difficult

Tough Chain Rule Problem with a Graph

APCALC-NK9PXE

The function $g$ is defined by $g(x)=f(2x+f(x))$ where the piecewise function $f(x)$ is graphed below.

What is the approximate value of $g'(2)$?

A

$0$

B

$\cfrac{1}{2}$

C

$1$

D

$2$