Consider the function $f ( x , y ) = x + y + \frac { 4 } { x } + \frac { 9 } { y }$ Determine all the local maximum, minimum and saddle points in the region $x 0 , y

Question

Consider the function $f ( x , y ) = x + y + \frac { 4 } { x } + \frac { 9 } { y }$ Determine all the local maximum, minimum and saddle points in the region $x > 0 , y < 0$

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The Answer of Consider the function $f ( x , y ) = x + y + \frac { 4 } { x } + \frac { 9 } { y }$ Determine all the local maximum, minimum and saddle points in the region $x > 0 , y < 0$

Consider the Function f(x,y)=x+y+4x+9yf ( x , y ) = x + y + \frac { 4 } { x } + \frac { 9 } { y }f(x,y)=x+y+x4​+y9​

Consider the Function $f ( x , y ) = x + y + \frac { 4 } { x } + \frac { 9 } { y }$