Unit 4 · Contextual Applications of Differentiation

Chapter 4.3

Related Rates

The ladder slides, the shadow stretches: when quantities are linked by geometry, their rates are linked by the chain rule.

12–16 min · free · lesson 20 of 46

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By the end

  1. 01Set up an equation relating changing quantities and differentiate with respect to time
  2. 02Solve related-rates problems and defend the setup
  3. 03Check answers against units and intuition

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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