= f(x, y) 3x² - 2xy + y² where x = 3u2v and y = 4u - v, what are the partial derivatives of z with respect to u and v? Given the function z = Options: дz дz = 38u+18v and = 18u+ 34v du dv дz du дz du дz du = = 34u + 18v and - - - дz 18u+ 34v and = 38u+ 18v dv = 18u+ 38v 34u + 18v дz 18u+ 38v and = dv

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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Question
Given the function z = f(x, y)
the partial derivatives of z with respect to u and v?
Options:
дz
du
дz
du
дz
du
дz
du
=
=
=
=
38u+18v and
18u+ 34v and
34u + 18v and
18u+ 38v and
ου
дz
ου
дz
ου
дz
Əv
=
=
18u+ 34v
= 38u+ 18v
18u+ 38v
= 34u + 18v
=
3x² - 2xy + y² where x =
3u2v and y
=
4u - v, what are
Transcribed Image Text:Given the function z = f(x, y) the partial derivatives of z with respect to u and v? Options: дz du дz du дz du дz du = = = = 38u+18v and 18u+ 34v and 34u + 18v and 18u+ 38v and ου дz ου дz ου дz Əv = = 18u+ 34v = 38u+ 18v 18u+ 38v = 34u + 18v = 3x² - 2xy + y² where x = 3u2v and y = 4u - v, what are
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