f(x, y) = x² + y-ex+y O a² O O exty of = 2+ ex+y = 2 - ex*y; Ot = 1 - ex+y. f(x, y) = cos (xy²) O = - y² sin xy²; ex+y. = = y² sin xy² ex+y. = - ex+y. 2t dick cxdv = 2-y²ex*y ² = -x²ex*y; Ft ovox adv dvdx adr QUESTION 4 Find all the second order partial derivatives of the given function. = ex+y = -ex+y =-exty dvdk cxov -y²ex+y = 2[ sin (xy2)-2y2 cos (xy²)]; = 2[2y² cos (xy²) - sin (xy²)); = -2x12xy² cos (xy²) + sin(xy²)); ay ax Ff dy dx = = axar avok kdv = 2y [sin (xy2)-y2 cos (xy²)] -y4 cos xy² ² 2y[xy2 cos (xy2) + sin(xy²)]; Fi - y² sin xy² = 2y[2y² cos (xy²) - sin (xy-2)]: 8-3 = 2 [y² codxy²) – sax(xy~)] = = 2yly2 cos (xy2) - sin (xy2)] xav
f(x, y) = x² + y-ex+y O a² O O exty of = 2+ ex+y = 2 - ex*y; Ot = 1 - ex+y. f(x, y) = cos (xy²) O = - y² sin xy²; ex+y. = = y² sin xy² ex+y. = - ex+y. 2t dick cxdv = 2-y²ex*y ² = -x²ex*y; Ft ovox adv dvdx adr QUESTION 4 Find all the second order partial derivatives of the given function. = ex+y = -ex+y =-exty dvdk cxov -y²ex+y = 2[ sin (xy2)-2y2 cos (xy²)]; = 2[2y² cos (xy²) - sin (xy²)); = -2x12xy² cos (xy²) + sin(xy²)); ay ax Ff dy dx = = axar avok kdv = 2y [sin (xy2)-y2 cos (xy²)] -y4 cos xy² ² 2y[xy2 cos (xy2) + sin(xy²)]; Fi - y² sin xy² = 2y[2y² cos (xy²) - sin (xy-2)]: 8-3 = 2 [y² codxy²) – sax(xy~)] = = 2yly2 cos (xy2) - sin (xy2)] xav
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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![Question Completion Status:
f(x, y) = x² + y-ex+y
Of
a²
Ⓒof
O
= 2 +exty.
= 2 - ex+y.
22²2 =2-y²x+y
ax²
Of
0
= 1- ex*y;
f(x, y) = cos (xy²)
Ot
- y² sin xy²;
y2
² sin xy²;-
= ex+y.
=-ex+y.
-y4 cos xy²
= -x²ex+y.
d2
Fi
=
dick dx dv
=-ex+y f
dvdk
ovox
a²
QUESTION 4
Find all the second order partial derivatives of the given function.
2²
2f
ax dv
Ff
akov
2f
dvdk
= ex+y
= -ex+y
= -ex+y
2-y²ex+y
xov
Ot
²
2y[xy2 cos (xy2) + sin(xy²)];
= - y² sin xy² = 2y[2y² cos (xy²) ► sin (xy²)];
= 2[ sin (xy2)- 2y2 cos (xy²)];
= 2[2y2 cos (xy²2) - sin (xy²)];
2 Quadratic Formula...
Ff
dyox
Ff
дудх oxov
= -2x[2xy² cos (xy²) + sin(xy²));
=
dvok
dvak
H
=
Pi
kdy
axay
Ellipse Calculator -...
= 2y [sin (xy2)-y2 cos (xy²)]
2yly2 cos (xy2) - sin (xy2)]
-2[2 cos(xy-2)-sin(xy-2)]
n1inch-DeFi/DEX... Polygon | Be](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7781eab4-bd8c-4d5f-8773-470cd6a9dde6%2Fa8ba1354-3282-4b6c-9324-f88711228037%2Fa1zwshv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question Completion Status:
f(x, y) = x² + y-ex+y
Of
a²
Ⓒof
O
= 2 +exty.
= 2 - ex+y.
22²2 =2-y²x+y
ax²
Of
0
= 1- ex*y;
f(x, y) = cos (xy²)
Ot
- y² sin xy²;
y2
² sin xy²;-
= ex+y.
=-ex+y.
-y4 cos xy²
= -x²ex+y.
d2
Fi
=
dick dx dv
=-ex+y f
dvdk
ovox
a²
QUESTION 4
Find all the second order partial derivatives of the given function.
2²
2f
ax dv
Ff
akov
2f
dvdk
= ex+y
= -ex+y
= -ex+y
2-y²ex+y
xov
Ot
²
2y[xy2 cos (xy2) + sin(xy²)];
= - y² sin xy² = 2y[2y² cos (xy²) ► sin (xy²)];
= 2[ sin (xy2)- 2y2 cos (xy²)];
= 2[2y2 cos (xy²2) - sin (xy²)];
2 Quadratic Formula...
Ff
dyox
Ff
дудх oxov
= -2x[2xy² cos (xy²) + sin(xy²));
=
dvok
dvak
H
=
Pi
kdy
axay
Ellipse Calculator -...
= 2y [sin (xy2)-y2 cos (xy²)]
2yly2 cos (xy2) - sin (xy2)]
-2[2 cos(xy-2)-sin(xy-2)]
n1inch-DeFi/DEX... Polygon | Be
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