g(x) = (x-1)/(x²-1)
g(x) = (x-1)/((x-1)(x+1))
g(x) = 1/(x+1)
g'(x) = -1/((x+1)²)
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g(x) = (x-1)/(x²-1)
g(x) = (x-1)/((x-1)(x+1))
g(x) = 1/(x+1)
g'(x) = -1/((x+1)²)