wietni let 2,4 h(x,y)= (1+2+0 40 if (xy) +(0,0) 8 "+69⁰ o if (x,y) = (0,0) exiyo ah 1) Show that 3h (0,0) and dy (0,0) exist. ах бу b. Show that h is not differentiable at (0,0) by showing that h is not continous at (0,0)
wietni let 2,4 h(x,y)= (1+2+0 40 if (xy) +(0,0) 8 "+69⁰ o if (x,y) = (0,0) exiyo ah 1) Show that 3h (0,0) and dy (0,0) exist. ах бу b. Show that h is not differentiable at (0,0) by showing that h is not continous at (0,0)
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:Let it to
2,4
h(x,y)= (1+2+60 if (xy) +(0,0)
+69³
0 if (x,y) = (0,0)
o
ah
1) Show that 3h (0,0) and 3h (0,0) exist.
dy
ах
b. Show that h is not differentiable at (0,0) by showing that
h is not continous at (0,0)
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