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Compute Derivative of Composed Tangent Function Using Chain Rule

APCALC-85MEVD

If $y=\tan(4\pi x^2)$ then $\cfrac{dy}{dx}$ is:

A

$\sec^2 (8\pi x)$

B

$8 \pi x \sec^2(4\pi x^2)$

C

$8 \pi x \sec(4\pi x^2) \tan(4\pi x^2)$

D

$\sec(8 \pi x) \tan(8 \pi x)$