What is the critical f(x,y)=100+4x-9y+2xy-x^2+y^3 ?

The critical f(x,y)=100+4x-9y+2xy-x^2+y^3 is (3,1),(1/3 ,-5/3)

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critical f(x,y)=100+4x-9y+2xy-x^2+y^3

critical points

f (x, y) = 100 + 4 x - 9 y + 2 x y - x^{2} + y^{3}

(3, 1), (\frac{1}{3}, - \frac{5}{3})

Solution steps

100 + 4 x - 9 y + 2 x y - x^{2} + y^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(3, 1), (\frac{1}{3}, - \frac{5}{3})

f (x) = x^{2} - x

f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2} + 10

f (x) = x^{\frac{1}{3}} (x + 3)^{\frac{2}{3}}

f (x, y) = x^{3} - y^{3} + x y^{2} + 5 x^{2} y

f (x) = 2 sec (x) + tan (x)

What is the critical f(x,y)=100+4x-9y+2xy-x^2+y^3 ?
The critical f(x,y)=100+4x-9y+2xy-x^2+y^3 is (3,1),(1/3 ,-5/3)