Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz²

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 first order partial derivatives for the following function.
f(x,y,z)=x²y+y²z+xz²
O A. af
8 8 8
OB. of
OD. of
of
= 2y+z²: Jy
ду
ax
2
= 2xy + z
OC. of
dx = 2xy + z
E
*
of
= x² + 2z; 5z = y² + 2x
dy
of
ay
af
= 2xy, =X
Əy
2
=x +yz;
of
==x+2yz, az
2yz;= y² + 2xz
dz
of
+2yzi az
= y² +xz
+ 2xz
Transcribed Image Text:Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz² O A. af 8 8 8 OB. of OD. of of = 2y+z²: Jy ду ax 2 = 2xy + z OC. of dx = 2xy + z E * of = x² + 2z; 5z = y² + 2x dy of ay af = 2xy, =X Əy 2 =x +yz; of ==x+2yz, az 2yz;= y² + 2xz dz of +2yzi az = y² +xz + 2xz
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