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- Find the absolute maximum and minimum values of each function on the interval given, and every input where each occurs.g(x) = \sin^2 x + \cos x on [0, \pi]h(x) = x^2 e^{-x} on [-1, 3]
- Find the absolute maximum and minimum values of $f
- Sofia measures the temperature of the sand on a beach during a summer day.
- Let $f
- Andre looks for the absolute extremes of $f
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The free lesson teaches it with worked examples and practice problems.
Extrema on a closed interval: the lesson ›More Chapter 6 worksheets: Analyzing functions: extrema, the mean value theorem, curve sketching, optimization
- 6.1The mean value theorem
- 6.2The extreme value theorem
- 6.3Critical points and local versus absolute extrema
- 6.4Increasing and decreasing from the derivative
- 6.5Position, velocity and acceleration
- 6.6Extrema on a closed interval
- 6.7Concavity and inflection points
- 6.8The first and second derivative tests
- 6.9Curve sketching and connecting f, f' and f''
- 6.10Optimization