### Home > APCALC > Chapter 5 > Lesson 5.2.1 > Problem 5-55

5-55.

Write an equation for

.Use the product rule.

Graph

using your graphing calculator. Then, use this graph to locate the-value of the local maximum ofover. The location of a local maximum on

can be found whereAND changes from positive values to negative values.Likewise, use a graph of

to locate the point of inflection offor. A zero on the second derivative that crosses the

-axis (or changes sign) indicates a point of inflection on the original function.

Use the eTool below to help solve the problem.

Click the link at right for the full version of the eTool: *Calc 5-55 HW eTool*