Answer
$h'(u) =\frac{\sqrt{u}}{u+1}$
Work Step by Step
We are told to find the derivative using Part 1 of the Fundamental Theorem of Calculus given the expression: $h(u) = \int ^{u}_{0}\frac{\sqrt{t}}{t+1} dt$
Since $h(u) = \int^{b}_{a}f(t)dt$
$h'(u) = f(u)$
Thus,
$h'(u) =\frac{\sqrt{u}}{u+1}$