In this article, we give several differentiation formulas of special and composite functions including trigonometric function, inverse trigonometric function, polynomial function and logarithmic function.
@article{bwmeta1.element.doi-10_2478_v10037-006-0006-z,
author = {Bo Li and Yan Zhang and Xiquan Liang},
title = {Several Differentiation Formulas of Special Functions. Part III},
journal = {Formalized Mathematics},
volume = {14},
year = {2006},
pages = {37-45},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0006-z}
}
Bo Li; Yan Zhang; Xiquan Liang. Several Differentiation Formulas of Special Functions. Part III. Formalized Mathematics, Tome 14 (2006) pp. 37-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0006-z/
[1] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
[2] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
[3] Artur Korniłowicz and Yasunari Shidama. Inverse trigonometric functions arcsin and arccos. Formalized Mathematics, 13(1):73-79, 2005. | Zbl 1276.26026
[4] Jarosław Kotowicz. Partial functions from a domain to a domain. Formalized Mathematics, 1(4):697-702, 1990.
[5] Jarosław Kotowicz. Partial functions from a domain to the set of real numbers. Formalized Mathematics, 1(4):703-709, 1990.
[6] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
[7] Konrad Raczkowski. Integer and rational exponents. Formalized Mathematics, 2(1):125-130, 1991.
[8] Konrad Raczkowski and Andrzej Nedzusiak. Real exponents and logarithms. Formalized Mathematics, 2(2):213-216, 1991.
[9] Konrad Raczkowski and Paweł Sadowski. Real function differentiability. Formalized Mathematics, 1(4):797-801, 1990.
[10] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990.
[11] Yasunari Shidama. The Taylor expansions. Formalized Mathematics, 12(2):195-200, 2004.
[12] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
[13] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
[14] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990.
[15] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
[16] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
[17] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.