It is given that $y={{x}^{\sin x}}$ where $x0$. Find the $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms

Question

It is given that $y={{x}^{\sin x}}$ where $x>0$. Find the $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$.

Accepted Answer

$x^{sin x - 1}(sin x + x cos x ln x)$

Worked Example 2