AP Calculus ABeasymcq1 pt

If f(x)=tanxf(x)=\tan x, then f(x)=f'(x)=

A.sec2x\sec^2 x
B.secxtanx\sec x\tan x
C.csc2x-\csc^2 x
D.sec2x-\sec^2 x

Explanation

Core Concept

The derivative of tanx\tan x is sec2x\sec^2 x. It follows from the quotient rule applied to sinxcosx\dfrac{\sin x}{\cos x}.

Correct Answer

Asec2x\sec^2 x

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