Answer to Question #138269 in Differential Geometry | Topology for anjali g

Question

Sketch the gradient field ∇f of the following functions:
(a) f(x,y) = x^2 + y^2.
(b) f(x,y) = x^2 −y^2/4 .

Answer 1

a) $\nabla f (x,y)=(2x,2y)$ . b) $\nabla f(x,y)=(2x,-y/2)$ Sketch a) and b) below