Help, please, I have to solve this difficult task. I tried to decide, but I understand that I will not be able to solve this task.
Find the stationary points of this function
z(x, y) = (x^3)*y – x*(y^3) – 4*sqrt(3)*x – 4y.
Help, please, I have to solve this difficult task. I tried to decide, but I understand that I will not be able to solve this task.
Find the stationary points of this function
z(x, y) = (x^3)*y – x*(y^3) – 4*sqrt(3)*x – 4y.
So
and
So, we got the following system of equations
Now, we multiply the second equation of the system to imaginary unit and subtract the second equation from the first equation.
We got three pairs of real roots of the system.
Now you need to calculate the three values of the function , i.e.