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Published byDerek Cunningham Modified over 9 years ago
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Section 4.1 Maxima and Minima 1
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4 a.Satisfies the conditions of the Extreme Value Theorem. Absolute maximum at x = a and absolute minimum at x = c. Absolute maximum at x = c
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6 Absolute maximum: q and s Local maximum: q and s Absolute minimum: p Local minimum: p and r If f has a local maximum or minimum at c and f’(c) exists, then f’(c) = 0.
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7 Note the converse of Theorem is not necessarily true.
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8 X(2ln x + 1) = 0; x = 0 not in domain or 2ln x + 1 = 0 ln x = -1/2 x = e -1/2 ≈ 0.61
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10 f(-2) = 32 absolute maximum f(3/2) = -27/16 absolute minimum a.
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11 b. g(-1) = 3 absolute maximum and g(0) = g(2) = 0 absolute minimum
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12 SOLUTION
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