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Draw the graph of for

  1. Find .

  2. Graph using your graphing calculator. Then, use this graph to find the -value of the local maximum of .

    The location of a local maximum on can be found where AND changes from positive values to negative values.

  3. Likewise, use a graph of to find the point of inflection of between .

    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