Find all the first order partial derivatives for the following function. cos y xz² f(x,y,z) = O A. af ax OB. of ax OC. af əx OD. of ax = = cos y of x²z² dy cos y z² cos y z² of sin y = dy xz² cos y of x²² dy siny of xz² dz of dy of dz sin y xz² = 2 cos y xz³ 2 cos y XZ of dz siny of 2 cos y = xz² dz xz3 2 cos y XZ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find all the first order partial derivatives for the following function.
cos y
xz²
f(x,y,z) =
O A. af
ax
O B. of
ax
OC. of
ax
OD. of
Əx
=
cos y of
x²z² dy
cos y
z²
cos y
z²
cos y
of
x²z² dy
=
Əf
sin y
dy xz²
of
ду
siny of
xz² dz
of
az
sin y
xz²
2 cos y
xz³
2 cos y
XZ
of
dz
siny of 2 cos y
=
xz² dz
xz3
2 cos y
XZ
Transcribed Image Text:Find all the first order partial derivatives for the following function. cos y xz² f(x,y,z) = O A. af ax O B. of ax OC. of ax OD. of Əx = cos y of x²z² dy cos y z² cos y z² cos y of x²z² dy = Əf sin y dy xz² of ду siny of xz² dz of az sin y xz² 2 cos y xz³ 2 cos y XZ of dz siny of 2 cos y = xz² dz xz3 2 cos y XZ
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