y=arctan(1-x)/(1+x)的微分

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y=arctan(1-x)/(1+x)的微分y=arctan(1-x)/(1+x)的微分y=arctan(1-x)/(1+x)的微分y=arctan[(1-x)/(1+x)]=arctan[-1+2/

y=arctan(1-x)/(1+x)的微分
y=arctan(1-x)/(1+x)的微分

y=arctan(1-x)/(1+x)的微分
y=arctan[(1-x)/(1+x)]
=arctan[-1+2/(1+x)]
y'=[-1+2/(1+x)]' * (1/(1+(-1+2/(x+1))^2)
=-2/(1+x)^2*[1/(1+(1-x)^2/(x+1)^2)
=-2/[(1+x)^2+(1-x)^2]=-2/(2+2x^2)=-1/(1+x^2)