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Calculus III Derivative

  1. Oct 24, 2009 #1
    Given that X is a vector in R^n, what is the derivative of:

    [tex]\texts{f(X)=|X|^{2}X}[/tex]

    I basically combined the product formula and dot product rule after breaking down |X|^2, which yielded my answer of:

    [tex]\texts{f'(X)=|X|^{2}v+2(v\bullet X)X}[/tex]

    Where v the direction.

    Is this correct/ close?
     
  2. jcsd
  3. Oct 24, 2009 #2

    Dick

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    Yes, it is. If you mean v(t)=X'(t) and X(t) is a curve.
     
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