Quiz 3:對數微分法

函數 \(f(x) = {x^{\sin x}}\) , \(f'(x) = ?\)

\({x^{\sin x}}\left( {\cos x\ln x + \frac{{\sin x}}{x}} \right)\)

\({x^{\cos x}}\left( {\sin x\ln x + \frac{{\cos x}}{x}} \right)\)

\({x^{\sin x}}\left( {\sin x\ln x + \frac{{\cos x}}{x}} \right)\)

\({x^{\cos x}}\left( {\cos x\ln x + \frac{{\sin x}}{x}} \right)\)