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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 27E
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3
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)
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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