(a)
\The function is
and point is
.
Apply derivative on each side with respect to
.


Constant multiplication and power rule :
.



.
Find the slope of the tangent line at
.
Substitute
in
.

.
Therefore, slope of the tangent line is
.
Point-slope form of line equation is
.
Substitute
and
in the point-slope form.

The tangent line equation is
.
(b)
\Graph the function
and the tangent line
:.gif\")
(c)
\Graph of the function using derivative feature of a graphing utility.
\.gif\")
The tangent line equation is
.