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What's on the worksheet
- Find $f''f(x) = xe^{x}f(x) = \dfrac{1}{x^2 + 3}
- For each function, $f''
- Let k be a constant, and let $f
- A function f has f(2) = 5 and f'(2) = -1, and its second derivative is $f''
- The figure shows the graph of f', the derivative of a function f defined on [-3, 5].
- Carlos opens a climbing gym.
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The free lesson teaches it with worked examples and practice problems.
Concavity and inflection points: 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