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

The critical f(x)=x^2y+xy^2+3xy is (0,-3),(-1,-1)

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

critical points

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

(0, - 3), (- 1, - 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, - 3), (- 1, - 1)

f (x) = \frac{x}{x ^{2} + 14}

\frac{e ^{x}}{e ^{x} + 1}

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

f (x) = \frac{1}{x + 1}

f (x) = 18 x - \frac{2}{3} x^{3}

What is the critical f(x)=x^2y+xy^2+3xy ?
The critical f(x)=x^2y+xy^2+3xy is (0,-3),(-1,-1)