Let S be the set of allx=/=OinR^n. Let r = abs(x), and letfbe the vector field defined on S by the equation:

f(x)= (r^p)(x),

where p is a real constant. Find a potential function for f on S.

Need a starting push...

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- Nov 18th 2010, 03:13 PMhashshashin715Find potential Function
Let S be the set of all

**x**=/=**O**in**R**^n. Let r = abs(**x**), and let**f**be the vector field defined on S by the equation:

**f(x)**= (r^p)(**x**),

where p is a real constant. Find a potential function for f on S.

Need a starting push... - Nov 18th 2010, 03:21 PMhashshashin715
Sorry, r = to the norm of

**x** - Nov 19th 2010, 04:06 AMHallsofIvy
So what you

**really**have is ?

In 3 dimensions, that is and you want a function f(x, y, z) such that

Okay, what is an anti-derivative of ?

I recommend the substitution .