find the extrema of the function

f(x,y)=x^{3}-xy+y^{2}+6x

asked by guest
on Jan 26, 2025 at 10:38 pm



You asked:

Find the extreme values of f(x,y)=x3xy+y2+6xf\left( x, y \right) = {x}^{3} - x y + {y}^{2} + 6 x

MathBot Answer:

\[\left[ \mathtt{\text{

\textbackslash(f(x, y)=x\textasciicircum\{3\} - x y + 6 x + y\textasciicircum\{2\}\textbackslash) has no local minima.

}}, \ \mathtt{\text{

\textbackslash(f(x, y)=x\textasciicircum\{3\} - x y + 6 x + y\textasciicircum\{2\}\textbackslash) has no local maxima.

}}, \ \mathtt{\text{

Global extrema not yet supported for multivariable functions.

}}\right]\]