Abstract
The fundamental theorem of classical calculus shows that differentiation and integration are really two sides of the same coin. In this chapter, various classes of functions which are differentiable almost everywhere are studied and the condition for a function, which is differentiable almost everywhere with the derivative being integrable, being expressed as the indefinite integral of the derivative, is examined.
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
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Kesavan, S. (2019). Differentiation. In: Measure and Integration. Texts and Readings in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-6678-9_6
Download citation
DOI: https://doi.org/10.1007/978-981-13-6678-9_6
Publisher Name: Springer, Singapore
Online ISBN: 978-981-13-6678-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)