Differentiation: Unit AB2 - Softcover

Open University Course Team

Softcover

ISBN 10: 0749202122 ISBN 13: 9780749202125

Publisher: Open University Worldwide, 2006

Synopsis

This unit discusses differentiable functions and some important properties that differentiable functions possess. It defines what it means for a function to be differentiable at a point and establishes some of the basic differentiable functions. It also considers functions that can be differentiated more than once. It studies the properties of functions that are differentiable on an interval, and establishes some useful results about derivatives which can also be described geometrically. Finally it covers I'Hopital's Rule, a result which enables us to find certain limits of a form for which the Quotient Rule fails.

The video programme, I'Hopital's Rule, associated with this unit is available on DVD00126 (order code M208/DVD02).

About this title

Synopsis

This unit discusses differentiable functions and some important properties that differentiable functions possess. It defines what it means for a function to be differentiable at a point and establishes some of the basic differentiable functions. It also considers functions that can be differentiated more than once. It studies the properties of functions that are differentiable on an interval, and establishes some useful results about derivatives which can also be described geometrically. Finally it covers I'Hopital's Rule, a result which enables us to find certain limits of a form for which the Quotient Rule fails. The video programme, I'Hopital's Rule, associated with this unit is available on DVD00126 (order code M208/DVD02).

Edition details

• Publisher: Open University Worldwide
• Publication date: 2006
• Language: English
• ISBN 10: 0749202122
• ISBN 13: 9780749202125
• Binding: Paperback
• Number of pages: 52