- #1
rman144
- 35
- 0
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?
[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?