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Question: How to draw line following the gradient curve

Question:How to draw line following the gradient curve

Christopher2222 5785 Maple
3d plotting gradient
October 18 2019
1

I have a surface described by the equation.

f := (x, y) -> 3*(1 - x)^2*exp(-x^2 - (y + 1)^2) - (2*x - 10*x^3 - 10*y^5)*exp(-x^2 - y^2) - 1/3*exp(-(x + 1)^2 - y^2)

with(plots):
plot3d(f(x,y),x=-3..3,y=-3..3,orientation=[-40,60,0])

If a drop of water were put at point f(0.2,1.4), how would we draw a line to follow it's path?  (is that the gradient curve?)
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