(10/9x^-1/3)-(10/9x^-4/3)=0

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Solution for (10/9x^-1/3)-(10/9x^-4/3)=0 equation:


D( x )

x = 0

x = 0

x = 0

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

((10/9)*x^-1)/3-(((10/9)*x^-4)/3) = 0

((10/9)*x^-1)/3+(-10/27)*x^-4 = 0

10/27*x^-1-10/27*x^-4 = 0

t_1 = x^-1

10/27*t_1^1-10/27*t_1^4 = 0

10/27*t_1-10/27*t_1^4 = 0

10/27*t_1*(1-t_1^3) = 0

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

t_1^3 = 1

t_1^3 = 1 // ^ 1/3

t_1 = 1

(10*t_1)/27 = 0

10/27*t_1 = 0 // : 10/27

t_1 = 0

t_1 = 1

x^-1-1 = 0

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

x^-1 = 1

-1 < 0

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

1 = 1*x^1 // : 1

1 = x^1

x = 1

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x należy do O

x = 1

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