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AP® Calculus AB-BC

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Derivative of a Secant

APCALC-VX5IDW

What is the derivative of $y=3\sec { \theta } ,$ with respect to ‘$\theta$’?

A

$\cfrac { dy }{ d\theta } =-3\sec { \theta } \tan { \theta } $

B

$\cfrac { dy }{ d\theta } =\dfrac{1}{6\tan \theta } $

C

$\cfrac { dy }{ d\theta } =-\cfrac{1}{3\sec ^{ 2 }{ \theta } }$

D

$\cfrac { dy }{ d\theta } =3\sec { \theta } \tan { \theta } $