Consider the equation x 2 + y 2 = 6y 10. a. Show that there are

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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

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.

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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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Consider the equation x 2 + y 2 = 6y 10. a. Show that there are

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dy dx X 3-y

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

Calculus For Business, Economics And The Social And Life Sciences

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