What is the critical f(x,y)=x^3+12xy^2-15x-24y ?

The critical f(x,y)=x^3+12xy^2-15x-24y is (1,1),(-1,-1),(2, 1/2),(-2,-1/2)

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critical f(x,y)=x^3+12xy^2-15x-24y

critical points

f (x, y) = x^{3} + 12 x y^{2} - 15 x - 24 y

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

Solution steps

x^{3} + 12 x y^{2} - 15 x - 24 y

Find where

\nabla f (x, y)

is equal to zero or undefined

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

What is the critical f(x,y)=x^3+12xy^2-15x-24y ?
The critical f(x,y)=x^3+12xy^2-15x-24y is (1,1),(-1,-1),(2, 1/2),(-2,-1/2)