Solve for the critical points and determine whether they are minimum point, maximum point or point of reflection. 1. y = 3x2 – 6x 2. y = x3 – 6x2 + 1 3. y = x3 – x2 – x 4. y = (x3–4)2/3 5. y = x4 + 1/x2 6. y = 1/4x4 – x3 + x2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 11AEXP
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Solve for the critical points and determine whether they are minimum point, maximum point or point of reflection.

1. y = 3x2 – 6x

2. y = x3 – 6x2 + 1

3. y = x3 – x2 – x

4. y = (x3–4)2/3        

5. y = x4 + 1/x2

6. y = 1/4x4 – x3 + x2

 

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