Explanation Given information: The equation x 3 y 3 + x − y = 1 . Concept and Formula Used: Chain rule of derivative. d d x ( x n ) = n x n − 1 Extended power rule: d d x ( u n ) = n u n − 1 d u d x & Product rule: d d x ( u . v ) = u d d x v + v d d x u . Calculation: It is given that x 3 y 3 + x − y = 1 Differentiate wrt x on both sides d d x ( x 3 y 3 + x − y ) = d d x ( 1 ) Product rule: d d x ( u

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 50SP

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To Calculate: y' for the given function x3y3+x−y=1.

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Chapter 3, Problem 49SP

Chapter 3, Problem 51SP

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Chapter 3 Solutions

Calculus

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y ' for the given function x 3 y 3 + x − y = 1 .

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Chapter 3 Solutions