(5x^2y^3-2x^3)/x4

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Solution for (5x^2y^3-2x^3)/x4 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

(5*x^2*y^3-(2*x^3))/(x^4) = 0

(5*x^2*y^3-2*x^3)/(x^4) = 0

5*x^2*y^3-2*x^3 = 0

x^2*(5*y^3-2*x) = 0

5*y^3-2*x = 0 // - 5*y^3

-2*x = -(5*y^3) // : -2

x = (-(5*y^3))/(-2)

x = (-5*y^3)/(-2)

x^2*(x-5/2*y^3) = 0

(x^2*(x-5/2*y^3))/(x^4) = 0

( x-5/2*y^3 )

x-5/2*y^3 = 0 // + -5/2*y^3

x = -(-5/2*y^3)

x = 5/2*y^3

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x = 5/2*y^3

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