Chapter 14.4, Problem 43E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Show that the function is differentiable by finding values of *ɛ*_{1} and *ɛ*_{2} that satisfy Definition 7.

**43.** *f*(*x*, *y*) = *x*^{2} + *y*^{2}

To determine

**To show:** The function

Explanation

**Given:**

The function is,

**Definition 7:**

“If

**Calculation:**

Consider the function

Take the partial derivatives with respect to

Thus, the value of

Compute the value of

The value of

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