Find the derivative of $x^{-4}(3-4x^{-5})$.

Find the derivative of the following function (it is to be understood that $a, b, c, d, p, q, r$ and $s$ are fixed non-zero constants and $m$ and $n$ are integers): $(ax^{2} + \sin x)(p + q \cos x)$

Find the derivative: $\frac{d}{dx}\{ \cos(\sin(x^2)) \}$

If $y=\frac{x \sin ^{-1} x}{\sqrt{1-x^2}}+\log \sqrt{1-x^2}$, then $\frac{d y}{d x}=$

Differentiate the function with respect to $x$: $\cos (a \cos x + b \sin x)$,where $a$ and $b$ are constants.

Find the derivative: $\frac{d}{dx} \cosh^{-1}(\sec x) = $