ln(x/x^2-1)

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Solution for ln(x/x^2-1) equation: 


D( x )

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

x^2 = 0

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

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

1*x^-1 <= 1

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

x^-1 <= 1/1

x^-1 <= 1

1/(x^1) <= 1

x <> 0

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

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

x^1 <= 1*x^2

x-x^2 <= 0

x^1*(1-x) <= 0

x < 0

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

1*(abs(x))^1+1 >= 0

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

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

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

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

abs(x) >= -1

x in (-oo:0)

x < 0

x > 0

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

1-(1*x^1) <= 0

1 <= 1*x^1 // : 1

1/1 <= x^1 // ^ 1/1

(1/1)^(1/1) <= x

x in <1:+oo)

x > 0

x in (-oo:0) U <1:+oo)

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (0:1)

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

ln(x/(x^2)-1) = ln(e^0)

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

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

1*x^-1 = 2 // : 1

x^-1 = 2

-1 < 0

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

1 = 2*x^1 // : 2

1/2 = x^1

x = 1/2

x = 1/2

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