Unit 4 · Contextual Applications of Differentiation

Chapter 4.5

L'Hospital's Rule

0/0 returns from Unit 1 — but now, with derivatives in hand, indeterminate forms resolve by comparing rates.

10–14 min · free · lesson 22 of 46

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By the end

  1. 01Recognize 0/0 and ∞/∞ indeterminate forms
  2. 02Apply L'Hospital's rule only after verifying the form
  3. 03Connect the rule to local linearity

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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