00:01
In this question we are given a function f of x comma y which is equals to x square plus x y plus y square plus 3x minus 3y plus 4 so in the first part we have to find a critical points we will find f of so its formula is devour of f of x comma y divided by daver of x and we will also calculate f of y which is devour divided by devour y of f of x comma y.
00:58
So on calculating it we will get f of x is equal to so differentiating this function with respect to x, we will get 2x plus y plus 3 and f of y will come out to be x plus 2y minus 3.
01:20
So for the critical points, we will put them equal to 0.
01:30
So we will have fx equals to 0 and f of y equals to 0.
01:39
So on putting them equals to 0, we have 2x plus y plus 3 is equal to 0.
01:47
This is our first equation and x plus 2y minus 3 is equal to 0.
01:54
This is our second equation.
01:57
Now for solving them we will use the simultaneous method.
02:02
So we will multiply our equation 1 by 2, we will get 4x plus 2y plus 6 equals to 0.
02:21
And the second equation is x plus 2y minus 3 is equal to 0...
