The value of derivative of \( f(x)=x^{\sin x} \) is \( (x0) \). \( ...

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The value of derivative of \( f(x)=x^{\sin x} \) is \( (x0) \).
\( \mathrm{P} \)
(1) \( x^{\sin x}\left(\frac{\sin x}{x}+\ln x \cos x\right) \)
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(2) \( x^{\cos x}\left(\frac{\sin x}{x}+\ln x \cos x\right) \)
(3) \( x^{\sin x}\left(\frac{\cos x}{x}+\ln x \sin x\right) \)
(4) \( x^{\cos x}\left(\frac{\sin x}{x^{2}}+\ln 2\right) \)
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