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 .