Question

x,y€ R
if xy^2+3yx^2=5, then the value maximum of x+y is...?

Answer 1

\[xy^2+3x^2y=5\]
\[y^2+3xy=5/x\]
\[y+3x=5/xy\]
\[y+x = 5/xy - 2x\]
lemme see if i can get an interval

Answer 2

do you know the basic conditions for maxima and minima?

Answer 3

help.. how to solve this problem, using differential ta??