(1/6)-(3/x)(1/(6x))

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Solution for (1/6)-(3/x)(1/(6x)) equation: 


D( x )

6*x = 0

x = 0

6*x = 0

6*x = 0

6*x = 0 // : 6

x = 0

x = 0

x = 0

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

1/6-(3/x) > 1/(6*x) // - 1/(6*x)

1/6-(3/x)-(1/(6*x)) > 0

(-1/6)*x^-1-3*x^-1+1/6 > 0

-19/6*x^-1 > -1/6

-19/6*x^-1 > -1/6 // * -1

19/6*x^-1 < 1/6

19/6*x^-1 < 1/6 // : 19/6

x^-1 < 1/6/19/6

x^-1 < 1/19

1/(x^1) < 1/19

x <> 0

1/(x^1) < 1/19 // * x^2

(x^2)/(x^1) < 1/19*x^2

x^1 < 1/19*x^2

x-1/19*x^2 < 0

x^1*(1-1/19*x) < 0

x < 0

-(abs(x))^1*(1/19*(abs(x))^1+1) < 0 // : -(abs(x))^1

1/19*(abs(x))^1+1 > 0

1/19*(abs(x))^1 > -1 // : 1/19

(abs(x))^1 > -1/1/19

(abs(x))^1 > -19 // ^ 1/1

abs(x) > (-19)^(1/1)

abs(x) > -19

x in (-oo:0)

x < 0

x > 0

x^1*(1-(1/19*x^1)) < 0 // : x^1

1-(1/19*x^1) < 0

1 < 1/19*x^1 // : 1/19

1/1/19 < x^1 // ^ 1/1

(1/1/19)^(1/1) < x

x in (19:+oo)

x > 0

x in (-oo:0) U (19:+oo)

x in (-oo:0) U (19:+oo)

(-oo:0) U (19:+oo)

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