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If $f(x)=\sec x-\csc x$, then $f'(x)=$

A

$\tan ^2 x +\cot^2 x$

B

$\sec x \tan x +\csc x \cot x$

C

$-\tan^2 x-\cot^2 x$

D

$- \sec x \tan x - \csc x \cot x$

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