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Problem 1 - Find the stationary values of the following (check whether they are relative maxima or minima or inflection points), assuming the domain to be the set of all real numbers:
a) y = -2x2 + 8x + 7
b) y = 5x2 + x
Problem 2 - Find the stationary values of the following (check whether they are relative maxima or minima or inflection points), assuming the domain to be the interval [0, ∞):
a) y = 1/3 x3 - x2 + x + 10
Problem 3 - Find the relative maxima and minima of y by the second-derivative test:
a) y = x3 + 6x2 + 9
b) y = 1/3x3 - 3x2 + 5x + 3
Textbook - Fundamental Methods of Mathematical Economics, Fourth Edition
Chapter 9 - Optimization: A Special Variety of Equilibrium Analysis
Detailed Question: Chapter 9. Exercise 9.2: Problem #’s 1 (parts a. and b. only) and 2 (part b. only) Exercise 9.4: Problem # 1 (part b. and c. only). Find the stationary values of the following (check whether they are relative maxima or minima or inflection points).
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