Expand the expression $42x\left(7x^2-1\right)^2\sqrt{5x^3}+\left(7x^2-1\right)^3\frac{15x+8x}{2}\left(5x^3+4x^2\right)^{-\frac{1}{2}}$

Find the derivative

$\frac{d}{dx}\left(\cos\left(x\right)\right)\cdot \csc\left(x\right)$

Find the derivative

$\frac{d}{dx}\left(x\cdot \left(x^2+1\right)\right)$

Find the derivative

$\frac{d}{dx}\left(x\cdot \tan\left(y\right)\right)$

Find the derivative

$\frac{d}{dx}\left(\left(2-x\right)^3\left(1-x^2\right)^2\right)$

Find the derivative

$\frac{d}{dx}\left(4\sin\left(x\right)\cdot \cos\left(x\right)\right)$

Find the derivative

$\frac{d}{dx}\left(5\cdot e^{7x}\cdot \cos\left(9x\right)\right)$

Find the derivative

$\frac{d}{dx}\left(x\cdot x\cdot y\right)$