Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\ln\left(x^3\right)^{\left(\sqrt{x}\right)}\right)$

Find the derivative

$\frac{d}{dx}x^{e^x}$

Find the derivative

$\frac{d}{dx}x^{cosx}$

Find the derivative

$\frac{d}{dx}\left(x^{5\sin\left(x\right)}\right)$

Find the derivative

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

Find the derivative

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

Find the derivative

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

Find the derivative

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