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Single Variable Calculus

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Moderate

Derivative of a Composition of Trigonometric Functions

SVCALC-8RLQFY

Find the derivative of $f(x) = \cos (\tan(3x))$.

A

$-\sin (\tan (3x))$

B

$-3 \sin(\tan (3x))\sec^2(3x)$

C

$-\sin (\tan (3x)) \sec^2(3x)$

D

$-\sin(\sec^2(3x))$