(a) The function was graphed in Figure 4. Show that f x (0, 0) and f y...

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(a) The function

if (x, y) + (0, 0) ху .2 f(x, y) =- + y? х if (x, y) = (0, 0)

was graphed in Figure 4. Show that f_x(0, 0) and f_y(0, 0) both exist but f is not differentiable at (0, 0). Use the result of Exercise 45.

(b) Explain why f_x and f_y are not continuous at (0, 0).

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 10, 2019 08:44 AM

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(a) The function was graphed in Figure 4. Show that f x (0, 0) and f y...

Question:

if (x, y) + (0, 0) ху .2 f(x, y) =- + y? х if (x, y) = (0, 0)

Step by Step Answer:

f0 hf00 00 h h To show that fisnt differentiable at 0 0 we need only show that f is ...View the full answer

Calculus Early Transcendentals

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