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Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ex² + 5 %3D Zyex? = 2x; 2xex2 : 2yex³(1 + 2x³}; (1 + 2x2); = 2x; = 2y + 2xex2 a _¢ = 2x; = 2yex? = 2y + 2xex2 = yex²c1 + 2x²y;- (1 + 2x2); - X; + xex2 Xex? y

Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ex² + 5 %3D Zyex? = 2x; 2xex2 : 2yex³(1 + 2x³}; (1 + 2x2); = 2x; = 2y + 2xex2 a _¢ = 2x; = 2yex? = 2y + 2xex2 = yex²c1 + 2x²y;- (1 + 2x2); - X; + xex2 Xex? y

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 17E
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Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y e ײ + 5 %3D = 2yex? = 2x; 2xex? 블 =2yex"(1 + 2x3): = 2x; = 2y + 2xex2 = 2yex? t = 2x; 2y + 2xex2 %3D yet2 (1 + 2x²);- = x; = y + xex2
Transcribed Image Text:Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y e ײ + 5 %3D = 2yex? = 2x; 2xex? 블 =2yex"(1 + 2x3): = 2x; = 2y + 2xex2 = 2yex? t = 2x; 2y + 2xex2 %3D yet2 (1 + 2x²);- = x; = y + xex2
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