Use implicit differentiation to calculate higher derivatives. Calculate y at the point (1, 1) on the curve
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Use implicit differentiation to calculate higher derivatives.
Calculate y" at the point (1, 1) on the curve xy2 + 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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