Abstract
In this chapter we discuss the derivative, with special emphasis on local linear approximations and the differential. The rules of differentiation are established rigorously. The mean value theorem and some of its consequences are discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Geveci, T. (2016). The Derivative. In: Advanced Calculus of a Single Variable. Springer, Cham. https://doi.org/10.1007/978-3-319-27807-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-27807-0_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27806-3
Online ISBN: 978-3-319-27807-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)