16x^(-2/3)-4x^(1/3)/3

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Solution for 16x^(-2/3)-4x^(1/3)/3 equation:


D( x )

x = 0

x = 0

x = 0

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

16*x^(-2/3)-((4*x^(1/3))/3) = 0

(-4/3)*x^(1/3)+16*x^(-2/3) = 0

16*x^(-2/3)-4/3*x^(1/3) = 0

t_1 = x^(1/3)

16*t_1^-2-4/3*t_1^1 = 0

16*t_1^-2-4/3*t_1 = 0

4*t_1*(4*t_1^-3-1/3) = 0

4*t_1^-3 = 1/3 // : 4

t_1^-3 = 1/12

-3 < 0

1/(t_1^3) = 1/12 // * t_1^3

1 = 1/12*t_1^3 // : 1/12

12 = t_1^3

t_1^3 = 12 // ^ 1/3

t_1 = 12^(1/3)

4*t_1 = 0

4*t_1 = 0 // : 4

t_1 = 0

t_1 = 12^(1/3)

x^(1/3)-12^(1/3) = 0

1*x^(1/3) = 12^(1/3) // : 1

x^(1/3) = 12^(1/3)

x^(1/3) = 12^(1/3) // ^ 3

x = 12

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 = 12

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