What is the extreme Z(x,y)=x+y-((x*y)/(100)) ?

The extreme Z(x,y)=x+y-((x*y)/(100)) is Saddle(100,100)

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extreme Z(x,y)=x+y-((x*y)/(100))

extreme points

Z (x, y) = x + y - (\frac{x \cdot y}{100})

Saddle (100, 100)

Solution steps

Find the critical points:

(100, 100)

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - \frac{1}{10000}

Check the sign of at each critical point

Check critical point

(100, 100) :

Saddle

Saddle (100, 100)

sin (θ) - 3 cos (θ)

f (x, y) = (- x^{2} - y^{2} + 2 y - 1)

f (x, y) = 7 (\frac{1}{5} (y + 3) e^{- x y})

y = 5 x^{2} - 15 x + 3

f (x, y) = x (e^{x} - e^{y})

What is the extreme Z(x,y)=x+y-((x*y)/(100)) ?
The extreme Z(x,y)=x+y-((x*y)/(100)) is Saddle(100,100)