symmetry of second derivatives

theorem
rdfs:label
"symmetry of second derivatives"@en
skos:altLabel
"Clairaut's theorem"@en
"Schwarz's theorem"@en
"Young's theorem"@en
schema:description
"theorem"@en
schema:dateModified "2026-09-07T10:47:22+00:00"^^xsd:dateTime
schema:version 2541643034
wikibase:identifiers 6
wikibase:sitelinks 17
wikibase:statements 14
p:P11497 wd:statement/Q1503239-604F6185-39A2-4313-A7CB-7F007AC879A7
p:P12385 wd:statement/Q1503239-afd21849-3e96-47b6-9999-d1be4d93c81f
p:P1296 wd:statement/Q1503239-0CE24A2F-9558-461D-86C9-EEF2416366A8
p:P138 wd:statement/Q1503239-26f6f77f-424c-4770-2d7e-4ec8c92fd758
wd:statement/Q1503239-762ee01b-4eff-8bd8-41f3-211cf1409bc7
wd:statement/Q1503239-f3863437-40cc-659f-35d6-962a36a347bb
p:P1889 wd:statement/Q1503239-8ed7d45d-46d4-c814-0f38-0e3623cad99c
p:P2534 wd:statement/Q1503239-a511a884-4923-c02a-db9c-9a613b4c7b15
p:P2579 wd:statement/Q1503239-2F84AD8F-2105-4D70-9B5B-9089AD0ABC97
p:P31 wd:statement/Q1503239-A8E703B0-82D4-4C93-920A-F9C0BBFBC8D1
p:P6104 wd:statement/Q1503239-D5811E12-A2C2-4210-9F05-61320D984243
p:P6366 wd:statement/Q1503239-AFAF7073-6CB6-40E3-90BC-15ED395913BA
p:P646 wd:statement/Q1503239-EB6CA1E1-A8C1-40E4-AEE0-12D5C96050AD
p:P7554 wd:statement/Q1503239-82F69954-AC59-47C5-9B85-D7187F87C593
p:direct-normalized/P6366 <https://makg.org/entity/2780778300>
wdt:P11497 "1.5.E6"
wdt:P12385 "teorema-de-schwarz"
wdt:P1296 "0061472"
wdt:P138 Alexis Clairaut
Hermann Schwarz
William Henry Young
wdt:P1889 Clairaut's theorem
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>y</mi></mrow></mrow></mfrac></mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>y</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 calculus
wdt:P31 theorem
wdt:P6104 WikiProject Mathematics
wdt:P6366 "2780778300"
wdt:P646 "/m/0256q9"
wdt:P7554 "Partial_derivative"
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