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	<owl:Ontology rdf:about="http://terminologickyportal.sk/wiki/Special:ExportRDF/Term-C3-ADn-3Aderiv-C3-A1cia_funkcie_v_bode">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-04-21T23:36:49+02:00</swivt:creationDate>
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		<rdf:type rdf:resource="http://terminologickyportal.sk/wiki/Special:URIResolver/Category-3AMatematika"/>
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		<rdfs:label>derivácia funkcie v bode</rdfs:label>
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		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">3032</swivt:wikiNamespace>
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		<property:Belongs_to_field rdf:datatype="http://www.w3.org/2001/XMLSchema#string">matematika</property:Belongs_to_field>
		<property:Has_approval_level rdf:datatype="http://www.w3.org/2001/XMLSchema#double">0</property:Has_approval_level>
		<property:Has_comment rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Podľa toho, či limita uvedená v definícii je vlastná alebo nevlastná, hovoríme o vlastnej (konečnej) alebo nevlastnej derivácii funkcie $f$ v bode $x_0.$ Pokiaľ nebude uvedené ináč, budeme pod pojmom derivácia rozumieť vlastnú deriváciu.</property:Has_comment>
		<property:Has_definition rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Funkcia $y = f(x)$ má v bode $x_0 \in D(f)$ deriváciu $f'(x_0)$, ak existuje limita: $$\displaystyle{f'(x_0) = \lim\limits_{x\rightarrow x_0} \frac{f(x)-f(x_0)}{x-x_0} = \lim\limits_{h\rightarrow 0} \frac{f(x_0+h)-f(x_0)}{h} }$$ (subst. $h = x - x_0$).</property:Has_definition>
		<property:Has_name rdf:datatype="http://www.w3.org/2001/XMLSchema#string">derivácia funkcie v bode</property:Has_name>
		<property:Is_related_to rdf:resource="&wiki;Term-C3-ADn-3Aderiv-C3-A1cia_funkcie_v_bode_z-C4-BEava"/>
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		<property:Is_taken_from rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Blaško, R: Matematická analýza 1. Žilina: EDIS 2009</property:Is_taken_from>
		<property:Display_title_of rdf:datatype="http://www.w3.org/2001/XMLSchema#string">derivácia funkcie v bode</property:Display_title_of>
		<swivt:wikiPageModificationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2023-01-19T08:46:29Z</swivt:wikiPageModificationDate>
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		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">derivácia funkcie v bode</swivt:wikiPageSortKey>
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	<swivt:Subject rdf:about="http://terminologickyportal.sk/wiki/Special:URIResolver/Term-C3-ADn-3Aderiv-C3-A1cia_v_bode_sprava">
		<rdfs:label>derivácia v bode sprava</rdfs:label>
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		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">derivácia v bode sprava</swivt:wikiPageSortKey>
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	<swivt:Subject rdf:about="http://terminologickyportal.sk/wiki/Special:URIResolver/Term-C3-ADn-3Aderiv-C3-A1cia_v_bode_z-C4-BEava">
		<rdfs:label>derivácia v bode zľava</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="http://terminologickyportal.sk/wiki/Special:ExportRDF/Term-C3-ADn-3Aderiv-C3-A1cia_v_bode_z-C4-BEava"/>
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		<property:Is_related_to rdf:resource="&wiki;Term-C3-ADn-3Aderiv-C3-A1cia_funkcie_v_bode"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">derivácia v bode zľava</swivt:wikiPageSortKey>
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	<swivt:Subject rdf:about="http://terminologickyportal.sk/wiki/Special:URIResolver/Term-C3-ADn-3Ahladk-C3-BD_obl-C3-BAk">
		<rdfs:label>hladký oblúk</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="http://terminologickyportal.sk/wiki/Special:ExportRDF/Term-C3-ADn-3Ahladk-C3-BD_obl-C3-BAk"/>
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		<rdfs:label>metóda per partes</rdfs:label>
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		<rdfs:label>substitučná metóda integrovania</rdfs:label>
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		<rdfs:label>Is related to</rdfs:label>
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