Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2f 2xy - 2x2y2 -1 02f a2f 2f x2 dx2 (x2y - x)2 ay2 (x2y -x)2 öyöx ixöy (x2y -x)² O g?f xy-x²y2 - 1 ?f (x?y - x)? oy2 x2 (x2y - x)2 ôyôx axây (x2y -x)2 a2f 2xy - 2x3y2 -1 a2f dx2 (x2y - x)2ay2 (x2y -x)²´ öyòx âxày x4 x2 (x²y - x)2 O a2f 2xy - 2x?y2 -1 o²f dx2 (x2y - x)? ày2 (x2y -x)² oyox öxòy (x2y - x)2 x2 a2f x2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find all the second order partial derivatives of the given function.
f(x, y) = In (x 2y - x)
O a2f 2xy - 2x2y? -1 02f
x2
dx2
(x2y - x)? ay2 (x2y - x)? öyox axây (x2y
dy2 (x2y - x)2 dyòx axdy
(x2y -x)2
O 22f xy-x2y2 -1 o2f
x4
x2
ix? (x?y-x)²ây2 (x2y - x)2 ôyðx dxây (x2y - x)2
(x2y - x)2 ayöx öxöy (x2y - x)2
O a2f 2ry -2x2y2 -1 02f
x4
x2
dx2
(x2y - x)2 ày2 (x?y - x)² @yðx dxdy (x2y - x)2
O 2f 2xy - 2x3y2 - 1 a2f
x2
x2
dx2
(x2y - x)? ay2 (x2y - x)2 öyöx dxây
(x2y - x)2
Transcribed Image Text:Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2f 2xy - 2x2y? -1 02f x2 dx2 (x2y - x)? ay2 (x2y - x)? öyox axây (x2y dy2 (x2y - x)2 dyòx axdy (x2y -x)2 O 22f xy-x2y2 -1 o2f x4 x2 ix? (x?y-x)²ây2 (x2y - x)2 ôyðx dxây (x2y - x)2 (x2y - x)2 ayöx öxöy (x2y - x)2 O a2f 2ry -2x2y2 -1 02f x4 x2 dx2 (x2y - x)2 ày2 (x?y - x)² @yðx dxdy (x2y - x)2 O 2f 2xy - 2x3y2 - 1 a2f x2 x2 dx2 (x2y - x)? ay2 (x2y - x)2 öyöx dxây (x2y - x)2
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