Curve Sketching and Optimization Problems
Lesson #5: Extreme Values
Learning Target
C5.1: I can determine the critical numbers of a function.
C5.2: I can demonstrate an understanding of the Extreme Value Theorem (absolute max and min values).
C5.2: I can demonstrate an understanding of the Extreme Value Theorem (absolute max and min values).
Notes
Review of absolute and local (or relative) maximum and minimum values
extreme_values.pdf | |
File Size: | 114 kb |
File Type: |
Critical Numbers
crictical_numbers.pdf | |
File Size: | 145 kb |
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Videos
In the following video, the instructor uses the term critical point for the value of c. Our textbook and me, refer to c as the critical number because it is the value of x at which a max or min is found.
The video below contains notes and examples for the Extreme Value Theorem. Ignore Example 4 as it contains trig ratios.
Textbook (Notes and Examples)
Pages 171 - 173 Extreme values
Pages 173 - 174 Fermat's Theorem and Critical Numbers
Pages 175 - 176 Procedure for Finding the Absolute Maximum and Minimum Values of a Continuous
Function on a Closed Interval [a, b].
Pages 173 - 174 Fermat's Theorem and Critical Numbers
Pages 175 - 176 Procedure for Finding the Absolute Maximum and Minimum Values of a Continuous
Function on a Closed Interval [a, b].
Practice Questions
Textbook: pg. 177, Questions 3 a - b, k, l
Formative Assessments
fa_21_-_critical_numbers_and_extreme_value_theorems.pdf | |
File Size: | 36 kb |
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