22. Let emaily tregmat it to nitamps att int x²y" if (x₁g)# (0,0) formys of ways + 69³ if (x,y) = (0,0) 0) Show that of £0₁0) and of (0,0) exist. da dy 4 b.) Show that f is not differentiable at co,od by showing that f is not continous at (0,0). 86 CE,1,1) tring ett to evaly trognat alt so maitoups, sonst CI-P) CC, E, -5.9. (a + (-X) = 2-s 2-Not S-XS = E-5, 8- XS = E-S₁

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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22. Let
faxıyo
x=5a enaly tregmat its meitenes att Jonid (15
of
x²y" if (x₁g)# (0,0)
x² +698
if (x₁y) = (0,0)
على كان مستلقي
a)
Show that of £0,0) and of (0,0) exist f
4
da
ду
b.) Show that f is not differentiable at (0,03 by showing that f
is not continous at (0,0).
C
CEI trinq ett to evaly trognent elt so maitoups, sonst
CE-P) CC,E,F
+(1-2) (E
(-) + (-x) = -5 (3)
+ 5*5=8-1
8-pet *5=8-5.
Transcribed Image Text:22. Let faxıyo x=5a enaly tregmat its meitenes att Jonid (15 of x²y" if (x₁g)# (0,0) x² +698 if (x₁y) = (0,0) على كان مستلقي a) Show that of £0,0) and of (0,0) exist f 4 da ду b.) Show that f is not differentiable at (0,03 by showing that f is not continous at (0,0). C CEI trinq ett to evaly trognent elt so maitoups, sonst CE-P) CC,E,F +(1-2) (E (-) + (-x) = -5 (3) + 5*5=8-1 8-pet *5=8-5.
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