University Business Math Differentiation Techniques and Elasticity — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 5 definitions and 5 theorems, 7 worked examples, 1 diagram, in 14 printable pages. This page lists what the notes cover. The notes themselves come with the University Business Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Differentiation Techniques and Elasticity — 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.
Derivatives of exponential and logarithmic functions
- Theorem — Derivatives of the exponential and logarithmic functions
Also in this section: 1 worked example, 1 note on method and common errors.
The product and quotient rules
- Theorem — The product rule
- Theorem — The quotient rule
Also in this section: 1 worked example, 1 note on method and common errors.
The chain rule with powers, exponentials and logarithms
- Definition — Composite functions
- Theorem — The chain rule
Also in this section: 1 worked example, 1 note on method and common errors.
Implicit differentiation
- Definition — Implicit differentiation
Also in this section: 1 worked example, 1 note on method and common errors.
Related rates in business settings
- Definition — Related rates
Also in this section: 1 worked example, 1 note on method and common errors.
Relative rate of change and elasticity of demand
- Definition — Relative and percentage rate of change
- Definition — Elasticity of demand
- Theorem — Elasticity and revenue
Also in this section: 2 worked examples, 1 note on method and common errors, 1 diagram.
Where the notes are
The notes are one of the documents in the University Business Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Differentiation Techniques and Elasticity practice worksheet is free and stays free.
Every University Business Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Business Math 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.
Differentiation Techniques and Elasticity practice worksheet About the Differentiation Techniques and Elasticity unit test