Find all the second order partial derivatives of the given function. f(x,y) =xy? + ye * + 5 O A. 2f 2ye x?. 2x; дудх дхду 2xe x? dy? O B. 2f 2ye x?, (1 + 2x?); 2x; дудх дхду = 2y + 2xe x? dx? OC. C. ?f = ye*° (1 + 2x²); =y+xex? = X; %3D ay? дудх дхду O D. 2f = 2ye x, dx :2x; %3D дудх дхду 2y + 2xe x2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find all the second order partial derivatives of the given function.
f(x,y) = xy? + ye * +5
O A. 2f
=2ye x?.
= 2x;
%3D
dx
dy?
дудх дхду
O B. 2f
= 2ye* (1 + 2x2);
= 2x;
= 2y + 2xe x
%3D
%3D
dx?
2
2
дудх дхду
O C. ?f
= ye* (1 + 2x?):
dx
=X;
дудх дхду
=y+xe**
2
O D. 2f
=2ye x?
= 2x;
2
ay?
= 2y + 2xe x2
%3D
%3D
dx
2
дудх дхду
Transcribed Image Text:Find all the second order partial derivatives of the given function. f(x,y) = xy? + ye * +5 O A. 2f =2ye x?. = 2x; %3D dx dy? дудх дхду O B. 2f = 2ye* (1 + 2x2); = 2x; = 2y + 2xe x %3D %3D dx? 2 2 дудх дхду O C. ?f = ye* (1 + 2x?): dx =X; дудх дхду =y+xe** 2 O D. 2f =2ye x? = 2x; 2 ay? = 2y + 2xe x2 %3D %3D dx 2 дудх дхду
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