Find all the second order partial derivatives of the given function. f(x, y) = xye ¯y< = 0; dy2 = ey(1 - y2) 3): %3D dyðx dxdy = 2xyey22 - 6): dyðx dxdy 4 = ye'", - 2xyey"v2 - 1); dy dyðx axdy = 0; dy = 2xyey22 . 3); dyðx dxdy

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 1
Find all the second order partial derivatives of the given function.
fx, y) %3 хуе "У+
= 0;
= 2xye'y²{2y² - 3);
dyðx
dxdy
= ye'y?.
- 2xye'y(2y2 - 6);
dydx
dxdy
= yey?,
2xye'y"y² - 1);
= ey(1 - y²)
=
dydx
дхду
= 0;
- 3);
dyðx dxdy
Transcribed Image Text:Question 1 Find all the second order partial derivatives of the given function. fx, y) %3 хуе "У+ = 0; = 2xye'y²{2y² - 3); dyðx dxdy = ye'y?. - 2xye'y(2y2 - 6); dydx dxdy = yey?, 2xye'y"y² - 1); = ey(1 - y²) = dydx дхду = 0; - 3); dyðx dxdy
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