The equation is .
Rewrite the expression:
\Assume and
.
Consider .
Differentiate on each side with respect to .
Consider .
Differentiate on each side with respect to .
.
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 and
.
From the fundamental theorem of calculus, part 1:
\.
.
Replace and
in above expression.
.
.
The derivative of the function .
.
The derivative of the function .