Finding the null gradient

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bh1910 2015-7-24

评论： Star Strider 2015-7-25

Hello, I'm kind of struggling with a problem.

syms x y
g = gradient ([x^2 + x, y^2 - y], [x, y])

How can I determine [x, y] which make the gradient vector null?

I tried to use fsolve but couldn't get it to work.

A bit lost here. tks

Walter Roberson 2015-7-24

try

solve(g,[x,y])

Star Strider 2015-7-24

See if this does what you want:

syms x y
f = [x^2 + x, y^2 - y];
g1 = gradient(f(1), [x, y]);
g2 = gradient(f(2), [x, y]);
x0 = solve(g1 == 0)
y0 = solve(g2 == 0)

bh1910 2015-7-24

Tks for your answer.

Star Strider 2015-7-25

My pleasure!

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