Question: 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

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 x³+ y³ = 3x + y − 2.

Data From Exercise 61

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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