1/x-x^22/1-x^2

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Solution for 1/x-x^22/1-x^2 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x-x^2 < 2/1-x^2 // - 2/1-x^2

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

x^2-x^2+1/x-2 < 0

1*x^-1 < 2

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

x^-1 < 2/1

x^-1 < 2

1/(x^1) < 2

x <> 0

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

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

x^1 < 2*x^2

x-2*x^2 < 0

x^1*(1-2*x) < 0

x < 0

-(abs(x))^1*(2*(abs(x))^1+1) < 0 // : -(abs(x))^1

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

2*(abs(x))^1 > -1 // : 2

(abs(x))^1 > -1/2

(abs(x))^1 > -1/2 // ^ 1/1

abs(x) > (-1/2)^(1/1)

abs(x) > -1/2

x in (-oo:0)

x < 0

x > 0

x^1*(1-(2*x^1)) < 0 // : x^1

1-(2*x^1) < 0

1 < 2*x^1 // : 2

1/2 < x^1 // ^ 1/1

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

x in (1/2:+oo)

x > 0

x in (-oo:0) U (1/2:+oo)

x in (-oo:0) U (1/2:+oo)

(-oo:0) U (1/2:+oo)

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