13.09.2013 Views

Differentiabilitet af vektorfunktion - Steen Toft Jørgensen

Differentiabilitet af vektorfunktion - Steen Toft Jørgensen

Differentiabilitet af vektorfunktion - Steen Toft Jørgensen

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y<br />

4<br />

3<br />

2<br />

1<br />

0<br />

0 1 2<br />

x<br />

banekurven i planen<br />

3 4<br />

Men funktionen f(t)=(x(t),y(t)) er en differentiabel funktion, da koordinatfunktionerne x(t) og<br />

y(t) er differentiable:

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