The derivative of \( f(x)=\tan x e^{x} \) is \( \mathrm{P} \) (1) \...

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The derivative of \( f(x)=\tan x e^{x} \) is
\( \mathrm{P} \)
(1) \( e^{x}\left(\sec ^{2} x+\tan x\right) \)
(2) \( e^{x}\left(\sec ^{2} x-\tan x\right) \)
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(3) \( e^{x}\left(\tan x-\sec ^{2} x\right) \)
(4) \( e^{x}(2 \sec x+\tan x) \)
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