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1996 | OriginalPaper | Buchkapitel

Differentiation

verfasst von : Andrew Browder

Erschienen in: Mathematical Analysis

Verlag: Springer New York

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In this chapter we develop the basic theory of derivatives of real-valued functions of one variable. The geometric motivation of the derivative of f at c is that it is the limit of the slope of lines joining (c, f(c)) to nearby points on the graph of f, as these points approach c, and therefore represents the slope of a “line passing through two consecutive points” of the graph of f, i.e., the tangent line. We can enjoy such language without succumbing to it.

Metadaten
Titel
Differentiation
verfasst von
Andrew Browder
Copyright-Jahr
1996
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-0715-3_4