AP Calculus AB Chain Rule and Implicit Differentiation — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 7 definitions and 4 theorems, 5 worked examples, 4 diagrams, in 10 printable pages. This page lists what the notes cover. The notes themselves come with the AP Calculus AB bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Chain Rule and Implicit Differentiation — what the notes cover
6 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Composite functions and the chain rule
- Definition — Composite function
- Theorem — The chain rule
Also in this section: 1 worked example, 2 notes on method and common errors, 1 diagram.
Implicit differentiation
- Definition — Implicit differentiation
- Definition — Implicitly defined curve
- Theorem — Horizontal and vertical tangents
Also in this section: 1 worked example, 2 diagrams.
The derivative of an inverse function
- Definition — Inverse function
- Theorem — The derivative of an inverse function
Also in this section: 1 worked example, 1 diagram.
The inverse trigonometric functions
- Definition — Inverse trigonometric functions
- Theorem — Derivatives of the inverse trigonometric functions
Also in this section: 1 worked example, 1 note on method and common errors.
Higher-order derivatives
- Definition — Higher-order derivatives
- Definition — Second derivative of an implicitly defined curve
Also in this section: 1 worked example.
Where the notes are
The notes are one of the documents in the AP Calculus AB Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Chain Rule and Implicit Differentiation practice worksheet is free and stays free.
Every AP Calculus AB topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 8 AP Calculus AB units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Chain Rule and Implicit Differentiation practice worksheet About the Chain Rule and Implicit Differentiation unit test