Unit 4 · Contextual Applications of Differentiation

Chapter 4.1

The Derivative in Motion

The derivative finally speaks in units — meters per second, then meters per second squared. Position, velocity, and acceleration as one story.

12–16 min · free · lesson 18 of 46

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By the end

  1. 01Interpret a derivative in context, with correct units
  2. 02Relate position, velocity, and acceleration
  3. 03Determine when a particle speeds up or slows down

In unit 4

  1. 4.1The Derivative in Motion12–16
  2. 4.2Rates of Change Beyond Motion10–13
  3. 4.3Related Rates12–16
  4. 4.4Linear Approximation10–14
  5. 4.5L'Hospital's Rule10–14
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