Find all first-order vector partial derivatives at the
indicated point, then for each one sketch the curves on the image surface
passing through the image point g (u0,v0) and having the property that onlyu varies on one curve and only v varies on the other; that is sketch the coordinate curves through
g(u0,v0). finally sketch the two tangent vectors given by the partial derivatives
we are given g(u,v) = (u,v,u^2+v^2) . I believe the given point is (1,1)

Question

Find all first-order vector partial derivatives at the
indicated point, then for each one sketch the curves on the image surface 
passing through the image point g (u0,v0) and having the property that onlyu varies on one curve and only v varies on the other; that is sketch the coordinate curves through 
g(u0,v0). finally sketch the two tangent vectors given by the partial derivatives
we are given g(u,v) = (u,v,u^2+v^2) . I believe the given point is (1,1)