3/x3

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Solution for 3/x3 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x < 3 // - 3

3/x-3 < 0

3*x^-1 < 3

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

x^-1 < 3/3

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

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

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