(1/(x+1))-1/(x-1)

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Solution for (1/(x+1))-1/(x-1) equation: 


D( x )

x+1 = 0

x-1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

1/(x+1)-(1/(x-1)) = 0

1/(x+1)-(x-1)^-1 = 0

1/(x+1)-1/(x-1) = 0

(1*(x-1))/((x+1)*(x-1))+(-1*(x+1))/((x+1)*(x-1)) = 0

1*(x-1)-1*(x+1) = 0

-2 = 0

-2/((x+1)*(x-1)) = 0

-2/((x+1)*(x-1)) = 0 // * (x+1)*(x-1)

-2 = 0

x belongs to the empty set

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