AP Calculus AB Derivative Rules — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 6 definitions and 7 theorems, 5 worked examples, 4 diagrams, in 12 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.
Derivative Rules — what the notes cover
9 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.
Also in this section: 1 note on method and common errors.
What you need
Also in this section: 1 note on method and common errors.
The derivative at a point
- Definition — The derivative at a point
- Definition — Tangent line at a point
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
The derivative as a function
- Definition — The derivative as a function
- Definition — Derivative notation
Also in this section: 1 note on method and common errors.
Differentiability
- Definition — Differentiability
- Theorem — Differentiability implies continuity
- Definition — How a derivative fails to exist
Also in this section: 1 worked example, 1 diagram.
The power rule, and the rules that come with it
- Theorem — The power rule
- Theorem — Constant, sum, difference and constant multiple rules
Also in this section: 1 worked example.
The four named derivatives
- Theorem — Derivatives of , , and
Also in this section: 2 diagrams.
The product rule
- Theorem — The product rule
Also in this section: 1 worked example.
The quotient rule
- Theorem — The quotient rule
Also in this section: 1 worked example.
The remaining trigonometric derivatives
- Theorem — Derivatives of , , and
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 Derivative Rules 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.
Derivative Rules practice worksheet About the Derivative Rules unit test