Find the critical points of the following function. Use the Second Derivative Test to determine​ (if possible) whether each critical point corresponds to a local​ maximum, local​ minimum, or saddle point. Confirm your results with a graphing utility.   f left parenthesis x comma y right parenthesis equals x Superscript 4 Baseline plus 3 x squared left parenthesis y minus 2 right parenthesis plus 4 left parenthesis y minus 1 right parenthesis squaredf(x,y)=x4+3x2(y−2)+4(y−1)2       Question content area bottom Part 1 What are the critical​ points?   enter your response here ​(Type an ordered pair. Use a comma to separate answers as​ needed.)

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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Find the critical points of the following function. Use the Second Derivative Test to determine​ (if possible) whether each critical point corresponds to a local​ maximum, local​ minimum, or saddle point. Confirm your results with a graphing utility.
 
f left parenthesis x comma y right parenthesis equals x Superscript 4 Baseline plus 3 x squared left parenthesis y minus 2 right parenthesis plus 4 left parenthesis y minus 1 right parenthesis squaredf(x,y)=x4+3x2(y−2)+4(y−1)2
 
 
 

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Part 1
What are the critical​ points?
 
enter your response here
​(Type an ordered pair. Use a comma to separate answers as​ needed.)
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