Show that at (0,0). f(x, y) = x² sin 0, (²7)(y² +1), (x, y) ‡ (0,0), (x, y) = (0,0). of (0,0) exists, and show that the əx af -(x, y) is not continuous dx
Show that at (0,0). f(x, y) = x² sin 0, (²7)(y² +1), (x, y) ‡ (0,0), (x, y) = (0,0). of (0,0) exists, and show that the əx af -(x, y) is not continuous dx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Show that
at (0,0).
f(x,y)
af
?х
=
{ ² sin (-2) (² +
X
0,
(y² +1), (x, y) ‡ (0,0),
(x, y) = (0,0).
(0,0) exists, and show that the
af
əx
(x, y) is not continuous
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