1x/x^3-7x

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Solution for 1x/x^3-7x equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

(1*x)/(x^3)-(7*x) = 0

x/(x^3)-7*x = 0

x^-2-7*x = 0

x*(x^-3-7) = 0

1*x^-3 = 7 // : 1

x^-3 = 7

-3 < 0

1/(x^3) = 7 // * x^3

1 = 7*x^3 // : 7

1/7 = x^3

x^3 = 1/7 // ^ 1/3

x = (1/7)^(1/3)

x = 0

x = 0

x in { 0} 

x = (1/7)^(1/3)

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