For all x > 0, there is a unique value y = r(x) that solves the equation

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For all x > 0, there is a unique value y = r(x) that solves the equation y3 + 4xy = 16.

(a) Show that dy/dx = 4y/(3y + 4x). (b) Let g(x) = f(x, r(x)), where f(x, y) is a function satisfying

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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