find the gradient vector feild ∇f of f and sketch it
f(x,y) = sqrt(x^2 +y^2)
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?