What is the critical P(x,y)=x^5y+2x^4y^2+x^3y^3 ?

The critical P(x,y)=x^5y+2x^4y^2+x^3y^3 is (0,0)

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critical P(x,y)=x^5y+2x^4y^2+x^3y^3

critical points

P (x, y) = x^{5} y + 2 x^{4} y^{2} + x^{3} y^{3}

(0, 0)

Solution steps

x^{5} y + 2 x^{4} y^{2} + x^{3} y^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

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

f (x, y) = x^{4} + y^{4} + 8 y^{3} + 6 x^{2} y^{2}

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

f (x) = x^{3} - 5 x^{2} + 3 x + 12

y = x^{- 1} e^{x}

What is the critical P(x,y)=x^5y+2x^4y^2+x^3y^3 ?
The critical P(x,y)=x^5y+2x^4y^2+x^3y^3 is (0,0)