# Math Help - locate and classify the stationary points of a function!!

1. ## locate and classify the stationary points of a function!!

function:- f(x,y) = x^3+ (x^2)y + y^2 + 2y
Thanks I have already worked out the 1st and 2nd partial derivatives. Help!
Thanks

2. Originally Posted by acu04385
function:- f(x,y) = x^3+ (x^2)y + y^2 + 2y
Thanks I have already worked out the 1st and 2nd partial derivatives. Help!
Thanks
Solve $\frac{\partial f}{\partial x} = 0$ and $\frac{\partial f}{\partial y} = 0$ simultaneously. Then test the nature of the solutions.

If you need more help, please show all your working and say where you get stuck.