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f) Show that fz(0,0) and f,(0,0) exist, but f is not differentiable at Clle pomi So, ?

f) Show that fz(0,0) and f,(0,0) exist, but f is not differentiable at Clle pomi So, ?

Advanced Engineering Mathematics
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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Pls answer sub question (f)
d) Let the function: f(x, y) = |, X< 0, Find the following limits: (i) f (x, y) , (ii) lim (2,-y)→(0,0) f(z, y) (z,y)-(3,-2) lim lim (x,y)→(-2,1) f(z, y) (iii), e) What does it mean to say that a function f(x, y) is continuous at a point (To, Yo)? State at least 3 facts. f) Show that fa(0,0) and fy (0,0) exist, but f is not differentiable at the point (0,0): S, (7, y) # (0, 0) (x, y) = (0,0) J0, z <y< 2? 1, otherwise (ii) f(x,y) = (i) f(x, y) =
Transcribed Image Text:d) Let the function: f(x, y) = |, X< 0, Find the following limits: (i) f (x, y) , (ii) lim (2,-y)→(0,0) f(z, y) (z,y)-(3,-2) lim lim (x,y)→(-2,1) f(z, y) (iii), e) What does it mean to say that a function f(x, y) is continuous at a point (To, Yo)? State at least 3 facts. f) Show that fa(0,0) and fy (0,0) exist, but f is not differentiable at the point (0,0): S, (7, y) # (0, 0) (x, y) = (0,0) J0, z <y< 2? 1, otherwise (ii) f(x,y) = (i) f(x, y) =
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