What is the critical f(x,y)=2xy^5+3x^2y+x^2 ?

The critical f(x,y)=2xy^5+3x^2y+x^2 is (0,0),(-100000/1594323 ,-10/27)

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critical f(x,y)=2xy^5+3x^2y+x^2

critical points

f (x, y) = 2 x y^{5} + 3 x^{2} y + x^{2}

(0, 0), (- \frac{100000}{1594323}, - \frac{10}{27})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- \frac{100000}{1594323}, - \frac{10}{27})

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

y = 4 x^{3} - 3 x

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

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

f (x, y) = x^{2} + 5 x + y^{2} - x y

What is the critical f(x,y)=2xy^5+3x^2y+x^2 ?
The critical f(x,y)=2xy^5+3x^2y+x^2 is (0,0),(-100000/1594323 ,-10/27)