(9x^5-x^2)/x

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Solution for (9x^5-x^2)/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(9*x^5-x^2)/x = 0

9*x^5-x^2 = 0

x^2*(9*x^3-1) = 0

9*x^3 = 1 // : 9

x^3 = 1/9

x^3 = 1/9 // ^ 1/3

x = (1/9)^(1/3)

x^2*(x-(1/9)^(1/3)) = 0

(x^2*(x-(1/9)^(1/3)))/x = 0

( x-(1/9)^(1/3) )

x-(1/9)^(1/3) = 0 // + (1/9)^(1/3)

x = (1/9)^(1/3)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x = (1/9)^(1/3)

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