15/f5

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Solution for 15/f5 equation:


D( f )

f = 0

f = 0

f = 0

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

15/f < 5 // - 5

15/f-5 < 0

15*f^-1 < 5

15*f^-1 < 5 // : 15

f^-1 < 5/15

f^-1 < 1/3

1/(f^1) < 1/3

f <> 0

1/(f^1) < 1/3 // * f^2

(f^2)/(f^1) < 1/3*f^2

f^1 < 1/3*f^2

f-1/3*f^2 < 0

f^1*(1-1/3*f) < 0

f < 0

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

1/3*(abs(f))^1+1 > 0

1/3*(abs(f))^1 > -1 // : 1/3

(abs(f))^1 > -1/1/3

(abs(f))^1 > -3 // ^ 1/1

abs(f) > (-3)^(1/1)

abs(f) > -3

f in (-oo:0)

f < 0

f > 0

f^1*(1-(1/3*f^1)) < 0 // : f^1

1-(1/3*f^1) < 0

1 < 1/3*f^1 // : 1/3

1/1/3 < f^1 // ^ 1/1

(1/1/3)^(1/1) < f

f in (3:+oo)

f > 0

f in (-oo:0) U (3:+oo)

f in (-oo:0) U (3:+oo)

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

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