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

The critical f(x,y)=-24x+2x^3+6xy^2-3y^3 is (6/5 , 8/5),(-6/5 ,-8/5)

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critical f(x,y)=-24x+2x^3+6xy^2-3y^3

critical points

f (x, y) = - 24 x + 2 x^{3} + 6 x y^{2} - 3 y^{3}

(\frac{6}{5}, \frac{8}{5}), (- \frac{6}{5}, - \frac{8}{5})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{6}{5}, \frac{8}{5}), (- \frac{6}{5}, - \frac{8}{5})

f (x) = 6 x^{2} - 6 x - 36

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

f (x) = \frac{x ^{4} - 3 x ^{2}}{( x ^{2} - 1 ) ^{2}}

f (x) = I n (x + 4)

cos (x) + 2 x

What is the critical f(x,y)=-24x+2x^3+6xy^2-3y^3 ?
The critical f(x,y)=-24x+2x^3+6xy^2-3y^3 is (6/5 , 8/5),(-6/5 ,-8/5)