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Analysis
Show table of contents
Table of contents
Preface
1
Starting at the begining: the natural numbers
2
Set theory
3
Integers and rationals
4
The real numbers
5
Limits of sequences
6
Series
7
Infinite sets
8
Continuous functions on \(\mathbb{R}\)
9
Differentiation of functions
10
The Riemann integral
11
Appendix: the basics of mathematical logic
12
Appendix: the decimal system
References
9
Differentiation of functions
9.1
Basic definitions
9.2
Local maxima, local minima, and derivatives
9.3
Monotone functions and derivatives
9.4
Inverse functions and derivatives
9.5
L’Hôpital’s rule
8
Continuous functions on \(\mathbb{R}\)
10
The Riemann integral
On this page
9
Differentiation of functions
9.1
Basic definitions
9.2
Local maxima, local minima, and derivatives
9.3
Monotone functions and derivatives
9.4
Inverse functions and derivatives
9.5
L’Hôpital’s rule