Consider the function of two variables a. Find all first-order partial derivatives. 0 0 F(x,y) = 4x² - 4xy + 4y² + x +y. O OF dr ab OF Əy ES 82F 022 sin (a) Po sin (a) 8 sin (a) da b. Find all second-order partial derivatives. Əz f 8 da B ⠀⠀ ⠀⠀ 8 8 ∞ a a P Ct C 22 S2 E E E
Consider the function of two variables a. Find all first-order partial derivatives. 0 0 F(x,y) = 4x² - 4xy + 4y² + x +y. O OF dr ab OF Əy ES 82F 022 sin (a) Po sin (a) 8 sin (a) da b. Find all second-order partial derivatives. Əz f 8 da B ⠀⠀ ⠀⠀ 8 8 ∞ a a P Ct C 22 S2 E E E
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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![Consider the function of two variables
a. Find all first-order partial derivatives.
F(x,y) = 4x²-4ay+4y² +x+y.
G
0
。
OF
dr
ab
OF
dy
ES
82F
022
sin (a)
Po
sin (a)
8
sin (a)
da
b. Find all second-order partial derivatives.
Əz
f
8
ох
1
⠀⠀
⠀⠀
xx
8
∞
a
R
R
22
22
S2
E
E
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85d5807d-28ac-446a-b785-7b2ea4ff4bd8%2F6b873ea7-ad52-4f5e-8ff7-511c2ddbfe6d%2F2blngpl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function of two variables
a. Find all first-order partial derivatives.
F(x,y) = 4x²-4ay+4y² +x+y.
G
0
。
OF
dr
ab
OF
dy
ES
82F
022
sin (a)
Po
sin (a)
8
sin (a)
da
b. Find all second-order partial derivatives.
Əz
f
8
ох
1
⠀⠀
⠀⠀
xx
8
∞
a
R
R
22
22
S2
E
E
E
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