Calculus III Derivative

  • Thread starter rman144
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  • #1
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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?
 

Answers and Replies

  • #2
Dick
Science Advisor
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Yes, it is. If you mean v(t)=X'(t) and X(t) is a curve.
 

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