Find if $frac{12xy-x^2y^2}{2(x+y)}$, with $x, y> 0$, has some minima or maxima
$begingroup$
I've got the following excersice:
Find if the following function has some minima or maxima:
$$W(x,y)=frac{12xy-x^2y^2}{2(x+y)} text{ with } x,y>0 $$
Well, I tried to find the critical points of the function, but the partial derivatives just get worse. So I want to know if there's another way to find out without using the second-order derivative.
calculus multivariable-calculus
edited Dec 5 '18 at 8:30
Blue
47.7k870151
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
$endgroup$
add a comment |
$begingroup$
I've got the following excersice:
Find if the following function has some minima or maxima:
$$W(x,y)=frac{12xy-x^2y^2}{2(x+y)} text{ with } x,y>0 $$
Well, I tried to find the critical points of the function, but the partial derivatives just get worse. So I want to know if there's another way to find out without using the second-order derivative.
calculus multivariable-calculus
edited Dec 5 '18 at 8:30
Blue
47.7k870151
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
$endgroup$
add a comment |
$begingroup$
I've got the following excersice:
Find if the following function has some minima or maxima:
$$W(x,y)=frac{12xy-x^2y^2}{2(x+y)} text{ with } x,y>0 $$
Well, I tried to find the critical points of the function, but the partial derivatives just get worse. So I want to know if there's another way to find out without using the second-order derivative.
calculus multivariable-calculus
edited Dec 5 '18 at 8:30
Blue
47.7k870151
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
$endgroup$
I've got the following excersice:
Find if the following function has some minima or maxima:
$$W(x,y)=frac{12xy-x^2y^2}{2(x+y)} text{ with } x,y>0 $$
Well, I tried to find the critical points of the function, but the partial derivatives just get worse. So I want to know if there's another way to find out without using the second-order derivative.
calculus multivariable-calculus
calculus multivariable-calculus
edited Dec 5 '18 at 8:30
Blue
47.7k870151
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
edited Dec 5 '18 at 8:30
Blue
47.7k870151
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
edited Dec 5 '18 at 8:30
Blue
47.7k870151
edited Dec 5 '18 at 8:30
Blue
47.7k870151
edited Dec 5 '18 at 8:30
Blue
47.7k870151
47.7k870151
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
asked Dec 5 '18 at 8:07
Eric ToporekEric Toporek
708
708
add a comment |
add a comment |
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