What is the critical f(x)=f(x,y)=2xy-x^2-2y^2+3x+4 ?

The critical f(x)=f(x,y)=2xy-x^2-2y^2+3x+4 is (3, 3/2)

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critical f(x)=f(x,y)=2xy-x^2-2y^2+3x+4

critical points

f (x) = f (x, y) = 2 x y - x^{2} - 2 y^{2} + 3 x + 4

(3, \frac{3}{2})

Solution steps

2 x y - x^{2} - 2 y^{2} + 3 x + 4

Find where

\nabla f (x, y)

is equal to zero or undefined

(3, \frac{3}{2})

2 x^{2} - y^{3} - 2 x y

\frac{x}{2 x ^{2} - 1}

f (x) = (x - 1)^{3} + 1

y = \frac{1}{x ^{2} - 9}

8 x^{2} ln (x)

What is the critical f(x)=f(x,y)=2xy-x^2-2y^2+3x+4 ?
The critical f(x)=f(x,y)=2xy-x^2-2y^2+3x+4 is (3, 3/2)