CEGEP Calculus I Analysis of Functions and Curve Sketching — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 1 definition and 6 theorems, 6 worked examples, in 10 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.
Analysis of Functions and Curve Sketching — what the notes cover
7 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.
The checklist
- Definition — Domain, zeros, intercepts
Also in this section: 1 worked example, 1 note on method and common errors.
Asymptotes
- Theorem — Locating asymptotes
Also in this section: 1 worked example, 1 note on method and common errors.
The first derivative: increase, decrease and extrema
- Theorem — The sign of
- Theorem — The first derivative test
Also in this section: 1 worked example, 1 note on method and common errors.
The second derivative: concavity and inflection
- Theorem — The sign of
Also in this section: 1 worked example, 1 note on method and common errors.
Rolle's theorem and the Mean Value Theorem
- Theorem — Rolle's theorem
- Theorem — The Mean Value Theorem
Also in this section: 1 worked example, 1 note on method and common errors.
Putting it together
Also in this section: 1 worked example.
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 Analysis of Functions and Curve Sketching 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.
Analysis of Functions and Curve Sketching practice worksheet About the Analysis of Functions and Curve Sketching unit test