Question

find all the stationary points
f(x,y)=1/2x^4+3y^2−6xy

Answer 1

So you found the partials of f w.r.t x and y?

Answer 2

what?

Answer 3

\[f_x=? \text{ and } f_y=?\]

Answer 4

i haven't found anything yet

Answer 5

Well you need to find that first?

Answer 6

Do you help with that?

Answer 7

Find the partials that is?

Answer 8

When you find the partial of f w.r.t x you treat everything by the x as a constant.

Answer 9

\[f_x=\frac{1}{2} 4x^3+0-6y=2x^3-6y\]

Answer 10

you try to find the partial of f w.r.t y now