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

t_1 = x^(1/3)

30*t_1^-2-1*t_1^1 = 0

30*t_1^-2-t_1 = 0

t_1*(30*t_1^-3-1) = 0

30*t_1^-3 = 1 // : 30

t_1^-3 = 1/30

-3 < 0

1/(t_1^3) = 1/30 // * t_1^3

1 = 1/30*t_1^3 // : 1/30

30 = t_1^3

t_1^3 = 30 // ^ 1/3

t_1 = 30^(1/3)

t_1 = 0

t_1 = 0

t_1 = 30^(1/3)

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

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

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

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

x = 30

t_1 = 0

x^(1/3)+0 = 0

x^(1/3) = 0

1*x^(1/3) = 0 // : 1

x^(1/3) = 0

x = 0

x in { 0}

x = 30

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