SOLVE THIS: II. Find the relative extrema and saddle points of the following function. x3 f(x, y) = 3x + xy - y² - USING THE SECOND DERIVATIVES TEST LIKE IN THE TABLE BELOW: By the Second Derivatives Test, (xo, yo) fxx (0,0) (1,−1) || −12| -6 3 fxy D fyy 0 -6 -6 -36 -6 36 Conclusion Saddle point Relative max

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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Solve this using second derivatives test (include a table like the example image) for upvote. 

SOLVE THIS:
II. Find the relative extrema and saddle points of the following function.
x³
3
f(x,y) = 3x + xy - y²
USING THE SECOND DERIVATIVES TEST LIKE IN THE TABLE BELOW:
By the Second Derivatives Test,
(xo, yo) fxx fyy
(0,0)
0
(1,-1) -12 -6
fxy D
-6 -6
-6
-
-36
36
Conclusion
Saddle point
Relative max
Transcribed Image Text:SOLVE THIS: II. Find the relative extrema and saddle points of the following function. x³ 3 f(x,y) = 3x + xy - y² USING THE SECOND DERIVATIVES TEST LIKE IN THE TABLE BELOW: By the Second Derivatives Test, (xo, yo) fxx fyy (0,0) 0 (1,-1) -12 -6 fxy D -6 -6 -6 - -36 36 Conclusion Saddle point Relative max
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