Discuss why the second order condition for a maximizing point is that the second derivative is negative. Similarly, discuss why the second order condition for a minimum is that the second derivstive is positive. Second order condition = If x^* maximizes f, the second derivative is negative.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 96E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Discuss why the second order condition for a maximizing point is that the second derivative is negative. Similarly, discuss why the second order condition for a minimum is that the second derivstive is positive.

Second order condition = If x^* maximizes f, the second derivative is negative.

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