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What's on the worksheet
- Each function f below is continuous for every real x, and its derivative is given.f'(x) = (x + 2)(5 - x)f'(x) = x^2(x - 3)f'(x) = \dfrac{x - 2}{\sqrt[3]{x}}
- Let $f
- Let $f
- Let $f
- Let $g
- The figure shows the graph of f', the derivative of a function f that is continuous on [-1.5, 4.5].
- Andre runs a public ice rink that opens at noon.
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The first and second derivative tests: 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