The function is
and point
.
Slope of the tangent line is the derivative of the function at
.
Consider
.
Apply derivative on each side with respect to
.
.
Power rule of derivatives :
.
Constant rule of derivatives :
.

.
Substitute
in
.


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

The tangent line equation is
.
Graph:
\Graph the function
and tangent line
.
.gif\")
The differential equation is
.
The tangent line equation is
.