Gradient og retningsderiverte

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Elena Malyutina

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Ready to use

4 years, 2 months ago

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Elena Malyutina 4 years, 2 months ago

Gave some feedback: Ready to use

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Elena Malyutina 4 years, 2 months ago

Published this.

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Elena Malyutina 4 years, 2 months ago

Created this.

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Question statement

La $f:\mathbb{R}^3\rightarrow \mathbb{R}$ være en funksjon med retningsderivert $D_v f(a)=\nabla f(a)\cdot v$

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Velg de påstandene du mener er riktige

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Den retningsderiverte i punktet $a$ er størst i retningen av gradienten i $a$

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Den retningsderiverte i punktet $a$ er størst i den retningen som er vinkelrett på gradienten i $a$

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Den retningsderiverte i punktet $a$ er størst i den retningen som er normalt på nivåkurven i $a$

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Den retningsderiverte i punktet $a$ er størst i den retningen som er normalt på tangenten til nivåkurven i $a$

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Den retningsderiverte i punktet $a$ er størst i den retningen som er parallell til tangenten til nivåkurven i $a$

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This question is used in the following exams:

Uke 8 by Elena Malyutina in Elena's workspace.
Funksjoner av flere variabler by Elena Malyutina in Elena's workspace.
Numbastest 5: Kjerneregelen, gradienter og retningsderiverte by Ida Friestad Pedersen in Elena's workspace.
Derivasjon by Glen Wilson in Glen's workspace.

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Taxonomy: mathcentre

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Elena Malyutina 4 years, 2 months ago

Elena Malyutina 4 years, 2 months ago

Elena Malyutina 4 years, 2 months ago

Error in variable testing condition

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