(10/3x^(-1/3))-(5/3x^(2/3))

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Solution for (10/3x^(-1/3))-(5/3x^(2/3)) equation:


D( x )

x = 0

x = 0

x = 0

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

(10/3)*x^(-1/3)-((5/3)*x^(2/3)) = 0

(-5/3)*x^(2/3)+(10/3)*x^(-1/3) = 0

10/3*x^(-1/3)-5/3*x^(2/3) = 0

t_1 = x^(1/3)

10/3*t_1^-1-5/3*t_1^2 = 0

5/3*t_1^-1*(2-t_1^3) = 0

-1*t_1^3 = -2 // : -1

t_1^3 = 2

t_1^3 = 2 // ^ 1/3

t_1 = 2^(1/3)

5/(3*t_1) = 0

5/3*t_1^-1 = 0 // : 5/3

t_1^-1 = 0

t_1 należy do O

t_1 = 2^(1/3)

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

1*x^(1/3) = 2^(1/3) // : 1

x^(1/3) = 2^(1/3)

x^(1/3) = 2^(1/3) // ^ 3

x = 2

x = 2

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