Help with partial derivatives
Hello,
I need to find the stationary points and classify them
This is how I did it:
(1)=\frac{y(1-x^2)}{(1+x^2)^2})
(2)=\frac{x}{1+x^2})
(2) yields that x=0
and (1) that y=0 or x=-1, x=1
So that I have 3 stationary points. But apparently the answer is that the only stationary point is (0,0); which I could get if I insert x=0 in (1). But the problem is that I don't understand why x=-1 and x=1 aren't valid solutions.
Both equations have to be satisfied simultaneously. DoesOriginally Posted by sebasto
Hello,
I need to find the stationary points and classify them
This is how I did it:
(1)
(2)
(2) yields that x=0
and (1) that y=0 or x=-1, x=1
So that I have 3 stationary points. But apparently the answer is that the only stationary point is (0,0); which I could get if I insert x=0 in (1). But the problem is that I don't understand why x=-1 and x=1 aren't valid solutions.satisfy equation (2)?
  |
LinkBack URL
About LinkBacks