Show that the component of ∇φ(x, y) in the i direction of the surface φ(x, y) = exp−(x^2 + y^2) is:

−(√2)/e

at the point r = 1/(√2) (i + j).

Hi. Im having some trouble with the question above. Not really sure where to go with this, but as a starter I know that the curl = dφ/dxi+ dφ/dyj. I got these to be:

dφ/dx = -2x exp-(x^2 + y^2)

dφ/dy = -2y exp-(x^2 + y^2)

Thanks