The function is
.
Rewrite the integral as
.
Assume
.
.
Apply derivative on each side with respect to
.
.
Rewrite the expression using chain rule.
\
.
\
Fundamental theorem of calculus:
\If
is continuous on
, then the function
is defined by
is continuous on
and differentiable on
, then
.
Here
.
Therefore,
.
.
Replace
in above expression.

.
The derivative of the function is
.