Unit 4 · Contextual Applications of Differentiation

Chapter 4.4

Linear Approximation

Zoom in far enough and every differentiable curve is a line — so borrow the line when the curve is too hard.

10–14 min · free · lesson 21 of 46

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By the end

  1. 01Build the local linearization of a function at a point
  2. 02Approximate function values with it
  3. 03Decide over- or underestimate from how the curve bends

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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