x9y6/(x3y2)3+y5x3/(x3y)2

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Solution for x9y6/(x3y2)3+y5x3/(x3y)2 equation: 


D( x )

(x^3*y)^2 = 0

(x^3*y^2)^3 = 0

(x^3*y)^2 = 0

(x^3*y)^2 = 0

x^6*y^2 = 0 // : y^2

x^6 = 0

x = 0

(x^3*y^2)^3 = 0

(x^3*y^2)^3 = 0

x^9*y^6 = 0 // : y^6

x^9 = 0

x = 0

x in (-oo:0) U (0:+oo)

(x^3*y^5)/((x^3*y)^2)+(x^9*y^6)/((x^3*y^2)^3) = 0

x^-3*y^3 = -1 // : y^3

x^-3 = -1/(y^3)

-3 < 0

1/(x^3) = -1/(y^3) // * x^3

1 = x^3*(-1/(y^3)) // : -1/(y^3)

-y^3 = x^3

x^3 = -y^3 // ^ 1/3

x = y

x = y

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