Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

Real Function Differentiability --- Part II


Jaroslaw Kotowicz
Warsaw University, Bialystok
Konrad Raczkowski
Warsaw University, Bialystok

Summary.

A continuation of [16]. We prove equivalent definition of the derivative of the real function at the point and theorems about derivative of composite functions, inverse function and derivative of quotient of two functions. At the beginning of the paper a few facts which rather belong to [8], [9] and [7] are proved.

MML Identifier: FDIFF_2

The terminology and notation used in this paper have been introduced in the following articles [18] [21] [2] [19] [6] [1] [3] [4] [10] [22] [8] [15] [5] [20] [12] [13] [17] [14] [16] [11] [9]

Contents (PDF format)

Bibliography

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[7] Jaroslaw Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers. Journal of Formalized Mathematics, 1, 1989.
[8] Jaroslaw Kotowicz. Convergent sequences and the limit of sequences. Journal of Formalized Mathematics, 1, 1989.
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[14] Jaroslaw Kotowicz. Properties of real functions. Journal of Formalized Mathematics, 2, 1990.
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[22] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.

Received January 10, 1991


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