2x/(x²-1)的导数
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2x/(x^2-1) = a/(x+1)+b/(x-1)
=[(a+b)x+b-a]/(x^2-1)
a+b=2, b-a=0, a=b=1
2x/(x^2-1)=1/(x+1)+1/(x-1)
[2x/(x^2-1)]'=[1/(x+1)+1/(x-1)]'
=-1/(x+1)^2-1/(x-1)^2
=[(a+b)x+b-a]/(x^2-1)
a+b=2, b-a=0, a=b=1
2x/(x^2-1)=1/(x+1)+1/(x-1)
[2x/(x^2-1)]'=[1/(x+1)+1/(x-1)]'
=-1/(x+1)^2-1/(x-1)^2
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