Step 1:
\The functions are and
,
.
Consider .
Apply derivative on each side with respect to .
Consider .
Apply derivative on each side with respect to .
Step 2:
\Find .
Substitute the values of in above expression.
Step 3:
\Find slope of the tangent at .
Substitute in
.
.
Slope of a tangent line is .
Find the point corresponding to the value .
Substitute in
.
Substitute in
.
Now obtained point is
Point - slope form of a line equation is .
Substitute and
in point - slope form.
The tangent line equation is .
Solution :
\The tangent line equation is .