Suppose that xy + y3 = 2. Then implicit differentiation twice with respect to x yields in

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Suppose that xy + y3 = 2. Then implicit differentiation twice with respect to x yields in turn:
(a) xy' + y + 3y2y' = 0'
(b) xy" + y' + y' + 3y2y" + 6y(y')2 = 0.
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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