The Derivative

Houshang H. Sohrab
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Houshang H. Sohrab: Towson University, Mathematics

Chapter Chapter 6 in Basic Real Analysis, 2014, pp 241-289 from Springer

Abstract: Abstract The derivative is one of the two fundamental concepts introduced in calculus. The other one is, of course, the (Riemann) integral. For a real-valued function of a real variable, the derivative may be interpreted as an extension of the notion of slope defined for (nonvertical) straight lines. Recall that a (nonvertical) straight line is the graph of an affine function x ↦ ax + b, where a, b are real constants and a is the slope of the line.

Keywords: Intermediate Value Property; Newton-Raphson Process; Arithmetic-harmonic Mean Inequality; Characterizing Convex Functions; Inequality Means (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-1841-6_6

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