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Unformatted text preview: Evan Brown Guido Jo Calculus AP Honors 14 December 2009 Derivative Project 2) The yvalues of f(x) are the slope values of f(x), while the xvalues remain the same between the two. As f(x) has negative yvalues, f(x) has a negative slope. As f(x) has positive yvalues, f(x) has a positive slope. Therefore if f(x) goes from negative y values, crosses the xaxis into positive yvalues, f(x)is going from a negative slope to zero, to a positive slope. This change from a negative to zero to positive slope means there will be a minimum. As f(x) goes from positive yvalues to negative yvalues to negative yvalues, f(x) goes from a positive slope, to zero, to a negative slope, creating a maximum. Anytime f(x) crosses the xaxis, which means yvalues are zero, there will be extrema. To determine whether the extrema is a maximum or a minimum is based on which direction it crosses the xaxis....
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 Fall '07
 Patterson

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