to find all the second order partial derivatives of the given function. The function is f(x, y) = x/(x+y)

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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Hello, hope you are well!

My question is to find all the second order partial derivatives of the given function.

The function is f(x, y) = x/(x+y)

Options of the correct answers are added in the images

Thank you for your help

224
dx
22f
2
dx
2
dx
2
4
2
dx
||
"I
2+
2
2y
3
(x+y) ду
22f
2у
3₁
(x+y) ду
11
2x
(x+y)
2у
(x+y)³ (x+y)³
(x+y)
2+
3' 2
ay
22f 2+
3. Əyox oxdy
2x 224 2+
3'
дуох
ахду
у-х
(x+y)
22+
22+
2+
X
y
х-у
2 3:
(x+y)3' ду? (x+y) 3 дуох охду (x+y)3
2x 2+
2+
3' дуох эхду
(x+y)
3
х-у
(x+y)
3
x-y
3
(x+y) ³
Transcribed Image Text:224 dx 22f 2 dx 2 dx 2 4 2 dx || "I 2+ 2 2y 3 (x+y) ду 22f 2у 3₁ (x+y) ду 11 2x (x+y) 2у (x+y)³ (x+y)³ (x+y) 2+ 3' 2 ay 22f 2+ 3. Əyox oxdy 2x 224 2+ 3' дуох ахду у-х (x+y) 22+ 22+ 2+ X y х-у 2 3: (x+y)3' ду? (x+y) 3 дуох охду (x+y)3 2x 2+ 2+ 3' дуох эхду (x+y) 3 х-у (x+y) 3 x-y 3 (x+y) ³
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