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What's on the worksheet
- Each function $ss(t) = t^3 - 12t + 5, t \ge 0s(t) = e^t - 3t, t \ge 0s(t) = \cos 2t + 2\sin t, 0 \le t \le \pi
- A particle moves along a line.
- In a physics lab, Ethan's cart rolls along a straight track.
- A particle moves along a line with velocity $v
- Daniel runs a model train on a straight track.
- Sofia's pen plotter draws by sliding its pen back and forth along a straight rail.
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The free lesson teaches it with worked examples and practice problems.
Position, velocity and acceleration: 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