![[image]](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAaCAIAAAAMmCo2AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAJlJREFUOE/tks0NwyAMhU3HMvs46yTLkEV6Kuzi+I8EqkpRr1XfBWE+4PlBYma40+MO0PU/9FUEbV9yUuWt9XijtOwA8ixcCKlUrisKQCVKDuvUoC6jcK2yS0fZ55ogPwsRjbw0Q3bEGyHs/MDt9fz4K2ZHSBS2Rq/9OnOjndiF3uEp8Gpv1vIIqhYi9w/OWE4hj2uspZ/+4weAXtdC+XOlTAAAAABJRU5ErkJggg== "embedded image (png)"){kind=small}
, dann nach ![[image]](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAaCAIAAADjWkEIAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAALZJREFUOE/tk9sRAyEIRTFluf247WgzphjthQDqCo6ZMf/ha8Xj5XFnHSLCQbwOGEb+3H5RP+2lpvtyHFeqj1xNLefc/aYklhx8LIglejqGTEaOyIFfSQq22Z5kTjQMh/K85/mOz0Nf6a2VCZuPNGcEuV3VrOHmKPylOrD99Zl9zCu1cq2ynabNbuqOJZqKW05tTO170ZMxjCGTBbrkMuzeaptWhNG5QGLRNkDcBx+ajV/DHf7nH+OKuXIwf9oGAAAAAElFTkSuQmCC "embedded image (png)"){kind=small}
:Mehrfache partielle Ableitungen werden als Indizes ausgedrückt. Der letzte Index wird zuerst abgeleitet.
Ableitung zuerst nach , dann nach :
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
Bei kombinatorischen Ableitungen werden die Ableitungen nacheinander von der gleichen Funktion ausgeführt. Im Index (oben links) ist ein Komma vorhanden.
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
Alte Notation:
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}