Find the derivative of f(x)=xsin(x)f(x) = x^{\sin(x)}f(x)=xsin(x).
xsin(x)(cos(x)ln(x)+sin(x)x)x^{\sin(x)}(\cos(x)\ln(x) + \frac{\sin(x)}{x})xsin(x)(cos(x)ln(x)+xsin(x))
xsin(x)(cos(x)ln(x))x^{\sin(x)}(\cos(x)\ln(x))xsin(x)(cos(x)ln(x))
xsin(x)(sin(x)x)x^{\sin(x)}(\frac{\sin(x)}{x})xsin(x)(xsin(x))
sin(x)xsin(x)−1\sin(x) x^{\sin(x)-1}sin(x)xsin(x)−1