What is the critical f(x,y)=x^3y+12x^2-8y ?

The critical f(x,y)=x^3y+12x^2-8y is (2,-4)

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critical f(x,y)=x^3y+12x^2-8y

critical points

f (x, y) = x^{3} y + 12 x^{2} - 8 y

(2, - 4)

Solution steps

x^{3} y + 12 x^{2} - 8 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(2, - 4)

f (x) = x^{2} - 6 x + 10

2 x

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

f (x, y) = \frac{x ^{4}}{4} + \frac{y ^{4}}{4}

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

What is the critical f(x,y)=x^3y+12x^2-8y ?
The critical f(x,y)=x^3y+12x^2-8y is (2,-4)