Chapter 4.3, Problem 11PS

(a)

To determine

The critical points of $f(x)=\frac{1}{3}{x}^3-9x+2$

(b)

To determine

The intervals where $f(x)=\frac{1}{3}{x}^3-9x+2$ is increasing or decreasing.

(c)

To determine

The relative maxima, relative minima or neither.

(d)

To determine

Second order critical points and intervals for concavity

(e)

To determine

Graph of function $f(x)=\frac{1}{3}{x}^3-9x+2$