Unformatted text preview: that on both sides of x 2 the values are smaller, then there must be a local maximum at ( x 2 , f ( x 2 )); if we ﬁnd that on both sides of x 2 the values are larger, then there must be a local minimum at ( x 2 , f ( x 2 )); if we ﬁnd one of each, then there is neither a local maximum or minimum at x 2 . x 1 a b x 2 x 3 • • • • Figure 5.3 Testing for a maximum or minimum. It is not always easy to compute the value of a function at a particular point. The task is made easier by the availability of calculators and computers, but they have their own drawbacks—they do not always allow us to distinguish between values that are very...
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 Spring '07
 JonathanRogawski
 Math, Calculus, Derivative, ... ...

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