Find all the second order partial derivatives of the given function. f(x, y) = x² + y - ex+y 2²2 23 L 2 - y²ex+y; - = 2 + ex+y; = 2 - ex+y; 21 - 24 = 1 - ex*y; 24 ZE -x²ex+y;. 2 t dyk koy = ex+y; = ex+y Ji _ _Fi = ayax axay ZE ayax = - ex+y;. 2f 2f avax axay = = = 21 axay = ex+y = = - y²ex+y = -ex+y -ex+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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Find all the second order partial derivatives of the given function.
f(x, y) = x² + y - ex+y
O
O
2f
ZE
= 2 - y²ex+y; -
= 2 + ex+y;
= 2 - ex+y;
243
= 1 - ex+y;
2413
2 3
= -x²ex+y;
2f
oyox
- ex+y;.
2f
əyax axdy
Zf
avax
Zi
ay ax
=
=
=
Fi
axay
Zf
axay
axay
= - y²ex+y
= ex+y
= -ex+y
= -ex+y
Transcribed Image Text:Find all the second order partial derivatives of the given function. f(x, y) = x² + y - ex+y O O 2f ZE = 2 - y²ex+y; - = 2 + ex+y; = 2 - ex+y; 243 = 1 - ex+y; 2413 2 3 = -x²ex+y; 2f oyox - ex+y;. 2f əyax axdy Zf avax Zi ay ax = = = Fi axay Zf axay axay = - y²ex+y = ex+y = -ex+y = -ex+y
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