Suppose f is a differentiable function of x and y, and g(u, v) = f(eu + sin(v), eu + cos(v)). Use the table of values to calculate gu(0, 0) and gv(0, 0). fy 4 9 gu(0, 0) = gv(0, 0) = (0, 0) (1, 2) f 0 3 9 3 0 fx 8 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose f is a differentiable function of x and y, and g(u, v) = f(eu + sin(v), eu + cos(v)). Use the table of values to calculate gu(0, 0) and gv(0, 0).
fx
fy
8
4
5
9
gu(0, 0) =
9v(0, 0) =
(0, 0)
(1, 2)
f
0
3
g
3
0
Transcribed Image Text:Suppose f is a differentiable function of x and y, and g(u, v) = f(eu + sin(v), eu + cos(v)). Use the table of values to calculate gu(0, 0) and gv(0, 0). fx fy 8 4 5 9 gu(0, 0) = 9v(0, 0) = (0, 0) (1, 2) f 0 3 g 3 0
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