Derivation of a vector function

Can someone explain to me what does a derivation of a vector function represents graphically?

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Originally Posted by Pinsky

Can someone explain to me what does a derivation of a vector function represents graphically?

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this is not such an easy question to answer. especially since vector functions can have more dimensions than we can imagine, much less graph.

in any case, it represents the rate of change of the original vector function. the components of the vector function are the derivatives of the respective components of the original vector function

Quote:

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Originally Posted by Pinsky

Can someone explain to me what does a derivation of a vector function represents graphically?

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If r=r(t) represents the position vector of a moving point P, where t represents time, then v=dr/dt is the velocity vector of P. Graphically, v=dr/dt is the tangent vector of the locus of P.