Use implicit differentiation to find dy/dx for the equation /y = y 2 + 1 y

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Use implicit differentiation to find dy/dx for the equation

ϰ/y = y2 + 1 y ≠ 0

and for the equivalent equation

ϰ = y3 + y y ≠ 0

Show that although the expressions you get for dy/dx look different, they agree for all points that satisfy the given equation.

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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