In Problem 11, the derivative y9 was found to be y ' x y when x 2 y 2 4 (a) Take the implicit derivative of the equation for y9 to show that y y 9 xy ' y 2 (b) Substitute x y for y ' in the expression for y in part (a) and simplify to show that y (x 2 y 2 ) y 3 (c) Does y 4 y 3 Why or why not ...

In Problem 11, the derivative y9 was found to be y' = -x/y when x 2 +

Question:

In Problem 11, the derivative y9 was found to be

y' = -x/y

when x² + y² = 4.

(a) Take the implicit derivative of the equation for y9 to show that

y" = -y 9+ xy'/y²

(b) Substitute -x/y for y' in the expression for y" in part (a) and simplify to show that

y" = - (x² + y²)/y³

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Mathematical Applications For The Management, Life And Social Sciences

ISBN: 9781337625340

12th Edition

Authors: Ronald J. Harshbarger, James J. Reynolds

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Question Posted: Nov 06, 2020 05:53 AM

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In Problem 11, the derivative y9 was found to be y' = -x/y when x 2 +

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Mathematical Applications For The Management, Life And Social Sciences

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