The equation is
.
Rewrite the expression:
\
Assume
and
.
Consider
.
Differentiate on each side with respect to
.
\ \
Consider
.


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
.
From the fundamental theorem of calculus, part 1:
\
.
.
Replace
and
in above expression.

The derivative of the function
.
.
The derivative of the function
.