Find all the first order partial derivatives for the following function. f(x, y) %3D хуе "У af dy af = ye=Y;. xe-y %3D dx af dx af ye y; - xye-y %3D dy af dy ye y; = xe Y(1 - y) %3D dx af dy yey; = xe хе"У(у - 1) dx

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
Section9.2: Partial Derivatives
Problem 25E
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Find all the first order partial derivatives for the following function.
f(x, y) %3D хуе "У
af
= ye-Y;.
xe-y
dy
af
%3D
dx
af
af
ye y;
- xye-y
%3D
dx
dy
af
dy
ye y;
= xeY(1 - y)
%3D
ax
af
yey;
— хеУ(у - 1)
%3D
dx
ду
Transcribed Image Text:Find all the first order partial derivatives for the following function. f(x, y) %3D хуе "У af = ye-Y;. xe-y dy af %3D dx af af ye y; - xye-y %3D dx dy af dy ye y; = xeY(1 - y) %3D ax af yey; — хеУ(у - 1) %3D dx ду
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9780321964038
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