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Suppose that f(x, y) is a differentiable function, and that (P] g(u, v) = f(e" + sin v, e“ + cos v). %3D From the following table of values, we can conclude that gu(0, 0) = 5 and g„(0,0) = 2. f g fz _fy 8 7 (0,0) | 6 4 (1, 2) | 4 6 2 3

Suppose that f(x, y) is a differentiable function, and that (P] g(u, v) = f(e" + sin v, e“ + cos v). %3D From the following table of values, we can conclude that gu(0, 0) = 5 and g„(0,0) = 2. f g fz _fy 8 7 (0,0) | 6 4 (1, 2) | 4 6 2 3

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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(d) Suppose that f (x, y) is a differentiable function, and that g(u, v) = f(e" + sin v, e“ + cos v). From the following table of values, we can conclude that gu(0, 0) = 5 and g,(0,0) = 2. fz fy f g (0, 0) (1, 2) 4 8 7 4 2
Transcribed Image Text:(d) Suppose that f (x, y) is a differentiable function, and that g(u, v) = f(e" + sin v, e“ + cos v). From the following table of values, we can conclude that gu(0, 0) = 5 and g,(0,0) = 2. fz fy f g (0, 0) (1, 2) 4 8 7 4 2
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