What is the critical f(x)=4x^2y+2xy^2-12xy-5 ?

The critical f(x)=4x^2y+2xy^2-12xy-5 is (1,2),(0,6)

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critical f(x)=4x^2y+2xy^2-12xy-5

critical points

f (x) = 4 x^{2} y + 2 x y^{2} - 12 x y - 5

(1, 2), (0, 6)

Solution steps

4 x^{2} y + 2 x y^{2} - 12 x y - 5

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 2), (0, 6)

4 x^{3} - 12 x

y

f (x) = 4 x^{3} - 6 x^{2} - 24 x

x^{4} - 8 x^{2} + 1

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

What is the critical f(x)=4x^2y+2xy^2-12xy-5 ?
The critical f(x)=4x^2y+2xy^2-12xy-5 is (1,2),(0,6)