The function is
and point on the curve is
.
Consider
.
Apply derivative on each side with respect to
.


Slope of the tangent line at point
is
.
Substitute
in the slope of the tangent line.


Slope of the tangent line is the derivative of the function.
\Substitute
and
in the slope of the tangent line.







Substitute
in the function.


The point of tangency is
.
Slope of the tangent line at
is



Slope of the tangent line at
.
Point slope form of line equation is
.
Substitute
and
in the point-slope form.




Tangent line equation is
.
The point of tangency is
.
Tangent line equation is
.