Leibniz's Rule/One Variable/Examples

Examples of Use of Leibniz's Rule in One Variable

$8$th Derivative of $x^2 \sin x$

The $8$th derivative with respect to $x$ of $x^2 \sin x$ is given by:

$\dfrac {\d^8} {\d x^8} x^2 \sin x = x^2 \sin x - 16 x \cos x - 56 \sin x$