2/3x^-1/3-5/3x^2/3

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


D( x )

x = 0

x = 0

x = 0

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

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

(-5/9)*x^2+((2/3)*x^-1)/3 = 0

2/9*x^-1-5/9*x^2 = 0

1/9*x^-1*(2-5*x^3) = 0

-5*x^3 = -2 // : -5

x^3 = 2/5

x^3 = 2/5 // ^ 1/3

x = (2/5)^(1/3)

1/(9*x) = 0

1/9*x^-1 = 0 // : 1/9

x^-1 = 0

x należy do O

x = (2/5)^(1/3)

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