3/76/x

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Solution for 3/76/x equation:


D( x )

x = 0

x = 0

x = 0

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

3/7 > 6/x // - 6/x

3/7-(6/x) > 0

3/7-6*x^-1 > 0

-6*x^-1 > -3/7

-6*x^-1 > -3/7 // * -1

6*x^-1 < 3/7

6*x^-1 < 3/7 // : 6

x^-1 < 3/7/6

x^-1 < 1/14

1/(x^1) < 1/14

x <> 0

1/(x^1) < 1/14 // * x^2

(x^2)/(x^1) < 1/14*x^2

x^1 < 1/14*x^2

x-1/14*x^2 < 0

x^1*(1-1/14*x) < 0

x < 0

-(abs(x))^1*(1/14*(abs(x))^1+1) < 0 // : -(abs(x))^1

1/14*(abs(x))^1+1 > 0

1/14*(abs(x))^1 > -1 // : 1/14

(abs(x))^1 > -1/1/14

(abs(x))^1 > -14 // ^ 1/1

abs(x) > (-14)^(1/1)

abs(x) > -14

x in (-oo:0)

x < 0

x > 0

x^1*(1-(1/14*x^1)) < 0 // : x^1

1-(1/14*x^1) < 0

1 < 1/14*x^1 // : 1/14

1/1/14 < x^1 // ^ 1/1

(1/1/14)^(1/1) < x

x in (14:+oo)

x > 0

x in (-oo:0) U (14:+oo)

x in (-oo:0) U (14:+oo)

(-oo:0) U (14:+oo)

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