Write an equation for
using your graphing calculator. Then, use this graph to locate the x‑value of the local maximum of f over .
The location of a local maximum on f(x) can be found where f '(x) = 0 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 x-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