# 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 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 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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**Related Book For**

## Calculus For Business, Economics And The Social And Life Sciences

**ISBN:** 9780073532387

11th Brief Edition

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

**Question Details**

Chapter #

**2**Section: EXERCISES 2.6

Problem: 62