Write an equation for
Use the product rule.
using your graphing calculator. Then, use this graph to locate the ‑value of the local maximum of over .
The location of a local maximum on
can be found where AND changes from positive values to negative values.
Likewise, use a graph of
to locate the point of inflection of for .
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