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

Differential Geometry | Topology

Question #138269

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 .

Expert's answer

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

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