$\"\"$

\

The function is $\"\"$ .

\

Differentiate with respect to $\"\"$ .

\

$\"\"$

\

Product rule of derivative : $\"\"$ .

\

$\"\"$

\

Derivative formulas : $\"\"$ .

\

$\"\"$

\

Find the critical number by equating $\"\"$ to zero.

\

$\"\"$

\

$\"\"$ and $\"\"$

\

$\"\"$ can never be zero.

\

$\"\"$

\

$\"\"$

\

Using a graphing utility, $\"\"$ .

\

Substitute $\"\"$ in $\"\"$

\

$\"\"$

\

The critical point is $\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

The critical point is $\"\"$ .

\

$\"\"$

\

Determine the relative extrema, using second derivative test.

\

$\"\"$

\

Differentiate with respect to $\"\"$ .

\

Derivative formula : $\"\"$ .

\

$\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Point

\"\"

\"\"

\

Sign of

\

$\"\"$

\

\

$\"\"$

\

\

$\"\"$

\

Conclusion

Relative maximum

Relative minimum

\

The function has relative maximum at $\"\"$ .

\

The function ha relative minimum at $\"\"$ .

\

$\"\"$

\

Graph :

\

Graw the coordinate plane.

\

Graph the function $\"\"$ .

\

$\"\"$

\

Observe the graph :

\

The function is relative maximum at $\"\"$ .

\

The function is relative minimum at $\"\"$ .

\

$\"\"$

\

The function is relative maximum at $\"\"$ .

\

The function is relative minimum at $\"\"$ .