CEGEP Calculus I The Derivative — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 5 definitions and 2 theorems, 5 worked examples, in 8 printable pages. This page lists what the notes cover. The notes themselves come with the CEGEP Calculus I bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
The Derivative — what the notes cover
5 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.
Rates of change
- Definition — Average rate of change
- Definition — Instantaneous rate of change
Also in this section: 1 worked example, 1 note on method and common errors.
The definition of the derivative
- Definition — Derivative at a point
- Definition — The derivative as a function
Also in this section: 2 worked examples, 1 note on method and common errors.
The tangent line
- Theorem — Equation of the tangent
Also in this section: 1 worked example, 1 note on method and common errors.
Differentiability and continuity
- Definition — Differentiable
- Theorem — Differentiable implies continuous
Also in this section: 1 worked example, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the CEGEP Calculus I Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The The Derivative practice worksheet is free and stays free.
Every CEGEP Calculus I topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 CEGEP Calculus I 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.
The Derivative practice worksheet About the The Derivative unit test