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The Derivative

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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 xax + b, where a,  b are real constants and a is the slope of the line.

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Sohrab, H.H. (2014). The Derivative. In: Basic Real Analysis. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-1841-6_6

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