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Unformatted text preview:  x  8 3x/2 3 f(x) = 5*ln x + 2  x  8 3x/2 3 f(x) = 5*ln x + 2  x  8 3x/2 3 f(x) = 5*ln x + 2  x  8 3x/2 3 Newton's Example: f(x) = 5*ln x + 2  x  8 3x/2 3 f'(x) = 5/x +3/2 *ln 2 * 2  3x 3x/2 2 Newton's Example: f(x) = 5*ln x + 2  x  8 3x/2 3 f'(x) = 5/x +3/2 *ln 2 * 2  3x 3x/2 2 x = 10 x = 9.1 x = 8.1 x = 7.2 x = 6.4 x = 5.7 x = 5.0 x = 4.5 x = 4.2 1 2 3 4 8 5 7 6 Newton's Example: f(x) = x f'(x) = ½x ½½ x = x  1 f(x ) f'(x ) = x Other Problems? Newton's Problems: Derivative is zero You don't always converge Convergence Newton's: Quadratic = x 2 Bisection: Linear = x...
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 Spring '08
 MEYER
 Calculus, Bisection Method, 0.7 Newton, 4.2 Newton

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