1/x4

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Solution for 1/x4 equation:


D( x )

x = 0

x = 0

x = 0

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

1/x < 4 // - 4

1/x-4 < 0

1*x^-1 < 4

1*x^-1 < 4 // : 1

x^-1 < 4/1

x^-1 < 4

1/(x^1) < 4

x <> 0

1/(x^1) < 4 // * x^2

(x^2)/(x^1) < 4*x^2

x^1 < 4*x^2

x-4*x^2 < 0

x^1*(1-4*x) < 0

x < 0

-(abs(x))^1*(4*(abs(x))^1+1) < 0 // : -(abs(x))^1

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

4*(abs(x))^1 > -1 // : 4

(abs(x))^1 > -1/4

(abs(x))^1 > -1/4 // ^ 1/1

abs(x) > (-1/4)^(1/1)

abs(x) > -1/4

x in (-oo:0)

x < 0

x > 0

x^1*(1-(4*x^1)) < 0 // : x^1

1-(4*x^1) < 0

1 < 4*x^1 // : 4

1/4 < x^1 // ^ 1/1

(1/4)^(1/1) < x

x in (1/4:+oo)

x > 0

x in (-oo:0) U (1/4:+oo)

x in (-oo:0) U (1/4:+oo)

(-oo:0) U (1/4:+oo)

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