Use implicit differentiation to calculate higher derivatives. Use the method of the previous exercise to compute y

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Use implicit differentiation to calculate higher derivatives.

Use the method of the previous exercise to compute y" at the point (1, 1) on the curve x+ y3 = 3x + y − 2.


Data From Exercise 61

Calculate y" at the point (1, 1) on the curve xy+ y − 2 = 0 by the following steps:
(a) Find y' by implicit differentiation and calculate y' at the point (1, 1).
(b) Differentiate the expression for y' found in (a). Then compute y" at (1, 1) by substituting x = 1, y = 1, and the value of y' found in (a).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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