Section $5\mathrm{.}3$

$(10$ points$)$ Question $4$: Given $h(x)as$:

$h(x)={\displaystyle \underset{\frac{1}{x^2}}{\overset{5}{}}}\sqrt[\phantom{2}]{1+\frac{1}{t}}dt$

Use Fundamental theorem $of$ calculus $to$ find $(put$ details$)$:

$h^{\text{'}}(x)$

$h^{\text{'}}(x),atx=\frac{1}{2}$ and $x=\frac{1}{3}.$

Solution: