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Fundamental Theorems of Differential Calculus in One Variable Function
Katarina Devčić (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group
Cite this document

Devčić, K. (2019). Osnovni teoremi diferencijalnog računa funkcije jedne varijable (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:636744

Devčić, Katarina. "Osnovni teoremi diferencijalnog računa funkcije jedne varijable." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:636744

Devčić, Katarina. "Osnovni teoremi diferencijalnog računa funkcije jedne varijable." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:636744

Devčić, K. (2019). 'Osnovni teoremi diferencijalnog računa funkcije jedne varijable', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 13 October 2019, https://urn.nsk.hr/urn:nbn:hr:126:636744

Devčić K. Osnovni teoremi diferencijalnog računa funkcije jedne varijable [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2019 October 13] Available at: https://urn.nsk.hr/urn:nbn:hr:126:636744

K. Devčić, "Osnovni teoremi diferencijalnog računa funkcije jedne varijable", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:636744

Metadata
TitleOsnovni teoremi diferencijalnog računa funkcije jedne varijable
Title (english)Fundamental Theorems of Differential Calculus in One Variable Function
AuthorKatarina Devčić
MentorKristian Sabo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Applied Mathematics Research Group)
Osijek
Defense date and country2019-09-16, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
Diferencijalni je račun područje matematičke analize koje ispituje funkcije koristeći se njihovim derivacijama. Osnovni su teoremi Diferencijalnog računa: Fermatov, Rolleov, Lagrangeov, Cauchyjev i Taylorov. U ovome ćemo radu svaki od tih teorema dokazati te ćemo za svaki navesti primjer. Za Fermatov, Rolleov, Lagrangeov i Cauchyjev pojasnit ćemo i geometrijske interpretacije.
Abstract (english)
The differential calculus denotes an area of mathematical analysis that concerns itself with examining functions by using functional derivations. The fundamental theorems of differential calculus are: Fermat’s theorem, Rolle’s theorem, Lagrange’s theorem, Cauchy’s theorem and Taylor’s theorem. In this paper we focus on proving each of the above theorems as well as providing an adequate example for each of them. In cases of Fermat’s, Rolle’s Lagrange’s and Cauchy’s theorem we will also explain geometrical interpretations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:636744
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-09-19 06:08:00