(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that [tex]\nabla[/tex](r^n)=nr^(n-2)rif n is a position integer.

(hint:use [tex]\nabla[/tex](fg)=f[tex]\nabla[/tex]g+g[tex]\nabla[/tex]f)

2. Relevant equations

letr(x,y,z) = xi+yJ+zKbe the position vector and let r(x,y,z)= |r(x,y,z)|

3. The attempt at a solution

I tried separating [tex]\nabla[/tex](r^n) to [tex]\nabla[/tex](r^(n-1)*r)

but I can't figure it out.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Multivariable Calculus Question involving gradients

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