What is the critical x^3-5x^2+3y^2+3x+1 ?

The critical x^3-5x^2+3y^2+3x+1 is (1/3 ,0),(3,0)

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critical x^3-5x^2+3y^2+3x+1

critical points

x^{3} - 5 x^{2} + 3 y^{2} + 3 x + 1

(\frac{1}{3}, 0), (3, 0)

Solution steps

x^{3} - 5 x^{2} + 3 y^{2} + 3 x + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{1}{3}, 0), (3, 0)

\frac{x}{x ^{2} + 12 x + 35}

f (x) = x^{5} e^{3 x}

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

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

f (x, y) = 2 x^{3} - 6 x^{2} + y^{3} + 15 y^{2}

What is the critical x^3-5x^2+3y^2+3x+1 ?
The critical x^3-5x^2+3y^2+3x+1 is (1/3 ,0),(3,0)