Solve the differential equation $\sqrt{x}\frac{dy}{dx}=e^{\left(y+\sqrt{x}\right)}$

Find the derivative

$\frac{d}{dx}\left(x^{lnx}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{x^2}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\sqrt{x}}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{ln\left(x\right)}\right)$

Find the derivative

$\frac{d}{dx}x^{\ln\left(x\right)}$

Find the derivative

$\frac{d}{dx}\left(x^{2cos\left(x\right)}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{2x}\right)$