Chapter 4.3, Problem 25P

To determine

(a)

To find:

$f\text{'}(x)$ and $f\text{'}\text{'}(x)$

To determine

(b)

To find:

The critical points of $f.$

To determine

(c)

To find:

The inflection points of $f.$

To determine

(d)

To evaluate:

$f$ at its critical points and at the endpoints of the given interval and identify local and global maxima and minima of f in the interval.