30x^-2/3-x^1/3

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Solution for 30x^-2/3-x^1/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

(30*x^-2)/3-(x/3) = 0

10*x^-2-1/3*x = 0

x*(10*x^-3-1/3) = 0

10*x^-3 = 1/3 // : 10

x^-3 = 1/30

-3 < 0

1/(x^3) = 1/30 // * x^3

1 = 1/30*x^3 // : 1/30

30 = x^3

x^3 = 30 // ^ 1/3

x = 30^(1/3)

x = 0

x = 0

x in { 0} 

x = 30^(1/3)

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