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Concept · from MIT 18.01SC Single Variable Calculus

Examples of Implicit Differentiation

About these materials

MIT's own material for this topic, in MIT's order: Session 14: Examples of Implicit Differentiation.

Source: MIT OpenCourseWare 18.01SC Single Variable Calculus, Fall 2010, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

MIT's session, in MIT's order

MIT 18.01SC · 1. Differentiation · Part B: Implicit Differentiation and Inverse Functions · This session on MIT OpenCourseWare ↗

Lecture Video and Notes · Video Excerpts

  1. Clip 1: Slope of Tangent to Circle: DirectLecture clip · 8:57–13:53 · 4:56 long · transcript Watch Notes (PDF) ↗
  2. Clip 2: Slope of Tangent to Circle: ImplicitLecture clip · 13:53–19:44 · 5:51 long · transcript Watch Notes (PDF) ↗
  3. Clip 3: Example: y⁴+xy²-2=0Lecture clip · 19:44–29:03 · 9:19 long · transcript Watch Notes (PDF) ↗

Recitation Video

  1. Implicit DifferentiationProblem-solving video · transcript Watch

Worked Example

MIT's problem set

Problem Set 2

MIT places Problem Set 2 at the end of Part B: Implicit Differentiation and Inverse Functions; it covers the whole part, not only this topic. Problem Set 2 on MIT OpenCourseWare ↗

Where this sits in MIT 18.01SC

Open this session in the full course 18.01SC Single Variable Calculus: all units →

MIT OpenCourseWare, Prof. David Jerison, 18.01SC Single Variable Calculus, Fall 2010.

License: CC BY-NC-SA 4.0 · Edition: Fall 2010 · Open the original course on OCW ↗

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