What is the critical f(x,y)=x^3+y^2-3x^2+10y+6 ?

The critical f(x,y)=x^3+y^2-3x^2+10y+6 is (0,-5),(2,-5)

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critical f(x,y)=x^3+y^2-3x^2+10y+6

critical points

f (x, y) = x^{3} + y^{2} - 3 x^{2} + 10 y + 6

(0, - 5), (2, - 5)

Solution steps

x^{3} + y^{2} - 3 x^{2} + 10 y + 6

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, - 5), (2, - 5)

f (x) = 6 + 81 x - 3 x^{3}

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

f (x) = (30 + x) (190 - 5 x)

6 \cdot sin (8 x - 2)

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

What is the critical f(x,y)=x^3+y^2-3x^2+10y+6 ?
The critical f(x,y)=x^3+y^2-3x^2+10y+6 is (0,-5),(2,-5)