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Unformatted text preview: x = π 2 . Calculus Section 4.5 Page25 b) How accurate is the approximation L π 2 + 0.1 ≈ f π 2 + 0.1 for values of x near π 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 1x 2 x = 0, dx = 0.2 Assignment III5 Pages 229 – 230 #1 – 5 all, 19, 21, 23...
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 Spring '10
 John
 Calculus, Approximation, Derivative, Differential Calculus, Linear Approximation, Tangent Lines Let

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