5. Given the function x+y+2, if x = 1 or y = 1 2, if x 1 and y # 1. Show that fe(1, 1) and fy(1, 1) exist and but f is not differentiable at (1,1). f(x, y) -

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 28E
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5. Given the function
x + y + 2,
1 or y 1
-
2,
if x 1 and y # 1.
Show that fx(1, 1) and fy(1, 1) exist and but f is not differentiable at (1,1).
f(x, y)
-
if x =
Transcribed Image Text:5. Given the function x + y + 2, 1 or y 1 - 2, if x 1 and y # 1. Show that fx(1, 1) and fy(1, 1) exist and but f is not differentiable at (1,1). f(x, y) - if x =
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