The SDQ usually approximates the derivative much more closely than does the ordinary difference quotient. Let (x)

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The SDQ usually approximates the derivative much more closely than does the ordinary difference quotient. Let ƒ(x) = √x and a = 3. Compute the SDQ with h = 0.01 and the ordinary difference quotients with h = ±0.01. Compare with the actual value, which is ƒ'(3) = 1/(2 √3).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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