What is the critical f(x)=3x^3+y^2-9x+4y ?

The critical f(x)=3x^3+y^2-9x+4y is (-1,-2),(1,-2)

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critical f(x)=3x^3+y^2-9x+4y

critical points

f (x) = 3 x^{3} + y^{2} - 9 x + 4 y

(- 1, - 2), (1, - 2)

Solution steps

3 x^{3} + y^{2} - 9 x + 4 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 1, - 2), (1, - 2)

\frac{6 x ^{2}}{x ^{2} - 9}

f (x, y) = 2 x^{2} + y^{2} + 8 x - 6 y + 20

f (x) = \frac{2}{3} x^{3} - x^{2} - 84 - 8

f (x) = 8 x^{3} - 30 x^{2} - 504 x + 1

f (x) = I n^{3} x

What is the critical f(x)=3x^3+y^2-9x+4y ?
The critical f(x)=3x^3+y^2-9x+4y is (-1,-2),(1,-2)