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Single Variable Calculus

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Moderate

Chain Rule with an Unspecified Constant

SVCALC-WBNI67

Find the derivative of $f(x) = \sec^3(\alpha x)$, where $\alpha \not = 0$.

A

$3\sec^3(\alpha x)\tan(\alpha x)$

B

$3\sec^2(\alpha x)$

C

$3\alpha \sec^3(\alpha x)\tan(\alpha x)$

D

$3\alpha \sec^2(\alpha x)\tan(\alpha x)$