Hello
I would like to know the maximum and the minimum of a 4th order polynomial function P(a,b) of two variables a and b, where a, b are real positive numbers.
P(a,b) = a4 + 8a3b + 12a2b2 + 8ab3
There is a condition is that the quantity a2 + 4ab is always constant.
So how to solve that type of problem, I know a solution to a similar problem already exist somewhere on the internet so can someone here please give a link to such solution or procedure.
Thank You
I would like to know the maximum and the minimum of a 4th order polynomial function P(a,b) of two variables a and b, where a, b are real positive numbers.
P(a,b) = a4 + 8a3b + 12a2b2 + 8ab3
There is a condition is that the quantity a2 + 4ab is always constant.
So how to solve that type of problem, I know a solution to a similar problem already exist somewhere on the internet so can someone here please give a link to such solution or procedure.
Thank You