What is the critical f(x,y)=2x^3-6x^2+y^3+21y^2 ?

The critical f(x,y)=2x^3-6x^2+y^3+21y^2 is (0,0),(0,-14),(2,0),(2,-14)

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critical f(x,y)=2x^3-6x^2+y^3+21y^2

critical points

f (x, y) = 2 x^{3} - 6 x^{2} + y^{3} + 21 y^{2}

(0, 0), (0, - 14), (2, 0), (2, - 14)

Solution steps

2 x^{3} - 6 x^{2} + y^{3} + 21 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, - 14), (2, 0), (2, - 14)

x - 2 cos (x)

f (x) = cos (x) + \frac{3}{2} x

f (x) = x^{3} - 6 x^{2} + 12 x - 8

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

f (x) = I n (10 - x)

What is the critical f(x,y)=2x^3-6x^2+y^3+21y^2 ?
The critical f(x,y)=2x^3-6x^2+y^3+21y^2 is (0,0),(0,-14),(2,0),(2,-14)