Chapter 2.2, Problem 20E

The first and second derivatives of the function $f(x)$ have the values given in Table 1.

Find the $x$

-coordinate of all relative extreme points.

Find the $x$

-coordinate of all inflection points.

Table 1 values of the First two Derivatives of a function

$\begin{array}{ccc}x& f\text{'}(x)& f\text{'}\text{'}(x)\\ 0\le x\le 2& Positive& Negative\\ 2& 0& Negative\\ 2<x<3& Negative& Negative\\ 3& Negative& 0\\ 3<x<4& Negative& Positive\\ 4& 0& 0\\ 4<x\le 6& Negative& Negative\end{array}$