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    Maximizing area

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    Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.

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    Solution Preview

    Answering these questions usually involves the following steps:
    1 Forming an equation to describe the situation. Making sure that the equation has only one variable.

    2 Differentiating the equation.

    3 Finding the value that makes the derivative equal to zero.

    4 Substituting this value into your original equation.

    Solution: ...

    Solution Summary

    This shows how to maximize area for a given situation.