Wednesday, January 27, 2010

Extreme Value Theorem, Absolute Min/Max

I apologize for not posting this earlier. Please complete the odd problems listed. They are from Larson 7.0 Chapter 3 Section 1. Solutions are online in the digital book.

Remember: The Extreme Value Theorem states that a continuous function on a closed interval always has an absolute minimum and maximum value. Below is the book definition.



Remember: A Critical Number is an x-value where the derivative is zero or does not exist. Maximum and minimum values may occur at these points, but not always. The book definition is below.



Below are guidelines for finding Absolute Minima and Maxima.



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