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Consider the equation x 2 + y 2 = 6y 10. a. Show that there are no points (x, y) that satisfy this equation. b. Show that by applying implicit differentiation to the given equation, you obtain The point

Consider the equation x2 + y2 = 6y − 10.


a. Show that there are no points (x, y) that satisfy this equation.


b. Show that by applying implicit differentiation to the given equation, you obtain


image


The point of this exercise is to show that one must be careful when applying implicit differentiation. Just because it is possible to find a derivative formally by implicit differentiation does not mean that the derivative has any meaning.

Transcribed Image Text:

dy dx X 3-y

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a Since the sum of two sq…View the full answer


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Calculus For Business, Economics And The Social And Life Sciences

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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Question Details
Chapter # 2
Section: EXERCISES 2.6
Problem: 62
Posted Date: May 28, 2023 04:32:50
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