find the gradient vector feild ∇f of f and sketch it

f(x,y) = sqrt(x^2 +y^2)

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- February 23rd 2010, 08:58 PMoohaysomeonevector calculus - vector feilds
find the gradient vector feild ∇f of f and sketch it

f(x,y) = sqrt(x^2 +y^2) - February 23rd 2010, 10:25 PMmr fantastic
- February 24th 2010, 07:28 AMoohaysomeone
to find the gradient, i think i have to follow this formula:

∇f (x,y) = (fx, fy)

i think the first order partial derivitives will then be:

dF/dx = (1/2) * 2x * (x^2 + y^2)^(-1/2) = x * (x^2 + y^2)^(-1/2)

dF/dy = (1/2) * 2y * (x^2 + y^2)^(-1/2) = y * (x^2 + y^2)^(-1/2)

is this right? what step would i take next and how would i sketch this? - February 25th 2010, 01:17 AMmr fantastic