Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.2 - Limits and Continuity in Higher Dimensions - Exercises 14.2 - Page 796: 34


a) For all (x,y) except the lines $x=2$and $x=1$ b) For all (x,y) except parabola $y=x^2$

Work Step by Step

a) There must not be zero on the denominator. After factoring the denominator we have $(x-2)(x-1)$, so we can see that the given function is defined for all $(x,y)$ except the lines $x=2$and $x=1$ b) When $x^2-y\neq 0$ and $y \ne x^2$, then there can be no zero in the denominator.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.