Let f be a function with continuous second partial derivatives and define: = = ƒ (xy³, 12) f if you take; u = ry³ and w = is obtained: 02 From the above it is concluded that: 2 A) Zxy = 3y² fu+y³ fuu - 73 fwu B) Zry=3y² fu + 3xy³ fuu C) Zry = 3y² fu+y³ fuu D) Zry=3y² fu- - 6y² x² - 6y² x2 6y² x2 -fwu fuu 2 1/2 = y³ · fu - 22³3 · fw. . Əx -fwu + 3xy³ fuu + fww

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let f be a function with continuous second partial derivatives and define:
2 = 1 ƒ (xy³, 12)
if you take; u = ry³ and w =
From the above it is concluded that:
A) Zry = 3y² fu+y³ fuu
B) Zry = 3y² fu + 3xy³ fuu
Zxy = 3y² fu+y³ fuu
D) Zry
=
3y² fu
-
6y²
x2
2
x3
twu
6y²
x²
6y²
x²
fwu
-fuu
is obtained: 02
?x
-fwu + 3xy³ fuu + fww
=
y³.
· fu
2
x3
• fw.
Transcribed Image Text:Let f be a function with continuous second partial derivatives and define: 2 = 1 ƒ (xy³, 12) if you take; u = ry³ and w = From the above it is concluded that: A) Zry = 3y² fu+y³ fuu B) Zry = 3y² fu + 3xy³ fuu Zxy = 3y² fu+y³ fuu D) Zry = 3y² fu - 6y² x2 2 x3 twu 6y² x² 6y² x² fwu -fuu is obtained: 02 ?x -fwu + 3xy³ fuu + fww = y³. · fu 2 x3 • fw.
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