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

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

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

critical points

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

(0, 0), (1, 0)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (1, 0)

f (x) = 25 x - 2 x^{2} - 3 y^{2} + 3 x y

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

f (x, y) = x^{2} + y^{2} + 4 x - 2 y + 7

f (x) = x^{5} ln (x)

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

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