MATH221 · Annotated SlidesChapter 4 — Numerical Differentiation
Chapter 4 · Annotated slides

Numerical Differentiation

Numerical differentiation: forward/backward differences, three- and five-point endpoint and midpoint formulas, and the second-derivative midpoint formula.

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      Slide 3: Three-Point Endpoint Formula
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      1. Three-point endpoint: f′(x₀) ≈ (−3f(x₀) + 4f(x₀ + h) − f(x₀ + 2h))/(2h).
      Slide 4: Three-Point Midpoint Formula
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      1. Three-point midpoint: f′(x₀) ≈ (f(x₀ + h) − f(x₀ − h))/(2h), error O(h²).
      🎯 How this can come up · 1 question
      MCQ

      The three-point midpoint formula for f′(x₀) is:

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        Slide 6: Five-Point Midpoint Formula
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            Slide 8: Second Derivative Midpoint Formula
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            1. Second derivative midpoint: f″(x₀) ≈ (f(x₀ − h) − 2f(x₀) + f(x₀ + h))/h².
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                Slide 11: Exercise Set 4.1
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                    Slide 13: Exercise Set 4.1
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                      Slide 14: Exercise Set 4.1
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