What is the critical f(x)=(x+2y)^3+3x-24y-2(x-3y)^3 ?

The critical f(x)=(x+2y)^3+3x-24y-2(x-3y)^3 is (-1,0),(1,0),(1/5 , 2/5),(-1,0),(1,0),(-1/5 ,-2/5)

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critical f(x)=(x+2y)^3+3x-24y-2(x-3y)^3

critical points

f (x) = (x + 2 y)^{3} + 3 x - 24 y - 2 (x - 3 y)^{3}

(- 1, 0), (1, 0), (\frac{1}{5}, \frac{2}{5}), (- 1, 0), (1, 0), (- \frac{1}{5}, - \frac{2}{5})

Solution steps

(x + 2 y)^{3} + 3 x - 24 y - 2 (x - 3 y)^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 1, 0), (1, 0), (\frac{1}{5}, \frac{2}{5}), (- 1, 0), (1, 0), (- \frac{1}{5}, - \frac{2}{5})

What is the critical f(x)=(x+2y)^3+3x-24y-2(x-3y)^3 ?
The critical f(x)=(x+2y)^3+3x-24y-2(x-3y)^3 is (-1,0),(1,0),(1/5 , 2/5),(-1,0),(1,0),(-1/5 ,-2/5)