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undergraduate thesis
Derivacija funkcije i primjene
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. urn:nbn:hr:126:003140
Novaković, Karolina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

Cite this document

Novaković, K. (2018). Derivacija funkcije i primjene (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:003140

Novaković, Karolina. "Derivacija funkcije i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:003140

Novaković, Karolina. "Derivacija funkcije i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:003140

Novaković, K. (2018). 'Derivacija funkcije i primjene', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 July 2024, https://urn.nsk.hr/urn:nbn:hr:126:003140

Novaković K. Derivacija funkcije i primjene [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2024 July 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:003140

K. Novaković, "Derivacija funkcije i primjene", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:003140

Metadata
TitleDerivacija funkcije i primjene
Title (english)Derivation of the Function and its Application
AuthorKarolina Novaković
MentorIvan Soldo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2018-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu proučavat ćemo dva pristupa definiranja derivacije, dat ćemo definiciju same derivacije te definiciju derivacije funkcije u točki. Upoznat ćemo se s derivacijama elementarnih funkcija, prikazati pravila deriviranja te pokazati kako se računaju derivacije složene i inverzne funkcije. Napravit ćemo interpretaciju derivacije u fizici, biologiji te ekonomiji. Također ćemo prikazati kako predznakom derivacije ispitujemo monotonost derivabilnih funkcija, pokazat ćemo povezanost derivacije i lokalnih ekstrema te primjenu derivacije u ispitivanju konveksnosti funkcije.
Abstract (english)
In this paper, we will consider two approaches to deriving derivation, give the definition of the derivation itself, and definition of derivation of the function at the point. We will get acquainted with the derivations of elementary functions, show the derivation rules and show how the derivation of complex and inverse functions is calculated. We will make the interpretation of derivation in physics, biology and economics. We will also show how with sign of derivation we can examine the monotony of derivative functions, show what is the relation of derivation and local extremes, and the applications of derivation to convex functions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:003140
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 useLicence In copyright icon
Created on2018-10-17 06:54:12