#$12gis$ differentiable

$on$ a closed interval $m,n$ such that derivative

$g^{\text{'}}is$ integrable. Evaluate the five expressions.

$a\frac{d}{dx}({\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}g(x)dx)$

$b\frac{d}{dx}({\displaystyle \underset{m}{\overset{n}{}}}g(x)dx)$

$c\frac{d}{dx}({\displaystyle \underset{n}{\overset{m}{}}}g(t)dt)$

$d{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{g}^{\text{'}}(x)dx$

$e{\displaystyle \underset{m}{\overset{n}{}}}{g}^{\text{'}}(x)dx$