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

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

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critical f(x,y)= 3/2 x^2+x^3+3y^2

critical points

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

(0, 0), (- 1, 0)

Solution steps

\frac{3}{2} x^{2} + x^{3} + 3 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 1, 0)

f (x) = x^{4} - 12 x^{3} + 48 x^{2} - 64 x

f (x) = 4 x^{2} + 8 x + 4 y^{2} + 4

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

f (x) = 8 x^{2} ln (x)

f (x) = x^{2} + 6 x

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