函数求导.y=arctan(x+1)/(x-1)

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函数求导.y=arctan(x+1)/(x-1)

函数求导.y=arctan(x+1)/(x-1)
函数求导.y=arctan(x+1)/(x-1)

函数求导.y=arctan(x+1)/(x-1)
y=arctan(x+1)/(x-1)
y'=1/[1+(x+1)^2/(x-1)^2]*[(x+1)/(x-1)]'
=1/[1+(x+1)^2/(x-1)^2]*[(x-1)-(x+1)]/(x-1)^2
=-2/[(x+1)^2+(x-1)^2]
=-1/(x^2+1)

这直接套用公式啊arctan(x)的倒数是1/(1+x^2),