3/85/x

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Solution for 3/85/x equation:


D( x )

x = 0

x = 0

x = 0

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

3/8 > 5/x // - 5/x

3/8-(5/x) > 0

3/8-5*x^-1 > 0

-5*x^-1 > -3/8

-5*x^-1 > -3/8 // * -1

5*x^-1 < 3/8

5*x^-1 < 3/8 // : 5

x^-1 < 3/8/5

x^-1 < 3/40

1/(x^1) < 3/40

x <> 0

1/(x^1) < 3/40 // * x^2

(x^2)/(x^1) < 3/40*x^2

x^1 < 3/40*x^2

x-3/40*x^2 < 0

x^1*(1-3/40*x) < 0

x < 0

-(abs(x))^1*(3/40*(abs(x))^1+1) < 0 // : -(abs(x))^1

3/40*(abs(x))^1+1 > 0

3/40*(abs(x))^1 > -1 // : 3/40

(abs(x))^1 > -1/3/40

(abs(x))^1 > -40/3 // ^ 1/1

abs(x) > (-40/3)^(1/1)

abs(x) > -40/3

x in (-oo:0)

x < 0

x > 0

x^1*(1-(3/40*x^1)) < 0 // : x^1

1-(3/40*x^1) < 0

1 < 3/40*x^1 // : 3/40

1/3/40 < x^1 // ^ 1/1

(1/3/40)^(1/1) < x

x in (40/3:+oo)

x > 0

x in (-oo:0) U (40/3:+oo)

x in (-oo:0) U (40/3:+oo)

(-oo:0) U (40/3:+oo)

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