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If \( y=(\sin x)^{\tan x} \), then \( \frac{d y}{d x} \) is equal to
(1) \( (\sin x)^{\tan x} \cdot\left(1+\sec ^{2} x \cdot \log \sin x\right) \)
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(2) \( \tan x \cdot(\sin x)^{\tan x-1} \cdot \cos x \)
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(3) \( (\sin x)^{\tan x} \cdot \sec ^{2} x \cdot \log \sin x \)
(4) \( \tan x \cdot(\sin x)^{\tan x-1} \)
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