(b) Show that the function defined by √₂²+y f(x, y) = 0 if (x, y) = (0,0) is not differentiable at point (0,0). if (x, y) = (0,0),

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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(b) Show that the function defined by
f(x, y) =
is not differentiable at point (0,0).
if (x, y) = (0,0),
0 if (x, y) = (0,0)
Transcribed Image Text:(b) Show that the function defined by f(x, y) = is not differentiable at point (0,0). if (x, y) = (0,0), 0 if (x, y) = (0,0)
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