(-4,4) 1 -5 1 -2 (-1,0) -3 -1 -2 2 3,5

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 56E
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Suppose that f(x,y), x(u,v) and y(u,v) define differentiable functions on all R2 and let g(u,v)= f(x(u,v),y(u,v )). Apply the chain rule to complete the tables, according to the data given in them.


(u, v) æ(u, v)
y(u, v) | xu(u, v) | x,(u, v) | Yu(u, v)
Y»(u, v)
| Gu(u, v) | g»(u, v)
(-4,4)
1
-5
1
-2
(-1,0)
-3
2
-1
-2
2
3,5
Transcribed Image Text:(u, v) æ(u, v) y(u, v) | xu(u, v) | x,(u, v) | Yu(u, v) Y»(u, v) | Gu(u, v) | g»(u, v) (-4,4) 1 -5 1 -2 (-1,0) -3 2 -1 -2 2 3,5
(x, y)
f-(x, y)
fy(x, y)
(-4,4)
-3
7
(-3,2)
-3
(0,0)
-1
(-1,0)
-9
Transcribed Image Text:(x, y) f-(x, y) fy(x, y) (-4,4) -3 7 (-3,2) -3 (0,0) -1 (-1,0) -9
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