What is the critical f(x,y)=-216x+2x^3+6xy^2-3y^3 ?

The critical f(x,y)=-216x+2x^3+6xy^2-3y^3 is (18/5 , 24/5),(-18/5 ,-24/5)

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critical f(x,y)=-216x+2x^3+6xy^2-3y^3

critical points

f (x, y) = - 216 x + 2 x^{3} + 6 x y^{2} - 3 y^{3}

(\frac{18}{5}, \frac{24}{5}), (- \frac{18}{5}, - \frac{24}{5})

Solution steps

- 216 x + 2 x^{3} + 6 x y^{2} - 3 y^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{18}{5}, \frac{24}{5}), (- \frac{18}{5}, - \frac{24}{5})

f (x) = - x^{4} + 8 x^{3}

f (x) = x^{3} e^{- x}

f (x) = 2 sin (2 x + π) - 1

f (x) = x^{3} - 6 x^{2} + 8 x

f (x) = sin (2 x), 0 \leq x \leq π

What is the critical f(x,y)=-216x+2x^3+6xy^2-3y^3 ?
The critical f(x,y)=-216x+2x^3+6xy^2-3y^3 is (18/5 , 24/5),(-18/5 ,-24/5)