Show that the function ху si x? + y? + 0 f(x,y) = {x² +y² si (x.y) = (0,0) It has partial derivatives fx and fy at the point (0,0) even though it is discontinuous at that point at that point.
Show that the function ху si x? + y? + 0 f(x,y) = {x² +y² si (x.y) = (0,0) It has partial derivatives fx and fy at the point (0,0) even though it is discontinuous at that point at that point.
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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Show that the function
ху
si x? + y? + 0
f (x,y) = {x2 + y²
si (x. y) = (0,0)
It has partial derivatives fx and fy at the point (0,0) even though it is discontinuous
at that point at that point.
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