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Unformatted text preview: x = 2 . Calculus Section 4.5 Page25 b) How accurate is the approximation L 2 + 0.1 f 2 + 0.1 for values of x near 2 ? Definition Differentials Let y = f x ( ) be a differentiable function. The differential dx is an independent variable. The differential dy is defined as: dy = f x ( ) dx Example 3. Find dy and evaluate dy for the given value of x and dx . What does this mean geometrically in a)? a) y = x 2 x = 1, dx = 0.01 b) y = x 1-x 2 x = 0, dx = -0.2 Assignment III-5 Pages 229 230 #1 5 all, 19, 21, 23...
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