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