Question

Extreme value of xpower4 +ypower4+4xy-2ypower2 for x,ygreater than zero​

Answer 1

Answer:

Let, y=x^(1/x)

Take log on both sides and differentiate on both sides with respect to x.

Then equate, dy/dx=0, and you will get the extreme values of the equation.

You will find that at x=e, the given equation has maximum value, thus you will get e^(1/e) as it's extreme value.

here is your answer....

hopes it helps you.....