In Exercises 7780, use implicit differentiation to calculate higher derivatives. sider

Chapter 3, Problem 77

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In Exercises 7780, use implicit differentiation to calculate higher derivatives. sider the equation y3 3 2 x2 = 1. (a) Show that y = x/y2 and differentiate again to show that y = y2 2xyy y4 (b) Express y in terms of x and y using part (a).

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