Question

$$( \frac { x ^ { m } } { x ^ { n } } ) ^ { m - p + n } \times ( \frac { x ^ { n } } { x ^ { p } } ) ^ { n - m }$$

Evaluate

$\left(x^{n-p}\right)^{n-m}\left(x^{m-n}\right)^{m+n-p}$

Differentiate w.r.t. x

$\frac{m^{2}\left(x^{n-p}\right)^{n-m}\left(x^{m-n}\right)^{m+n-p}-mn\left(x^{n-p}\right)^{n-m}\left(x^{m-n}\right)^{m+n-p}}{x}$