could you help me i can't find the derivative of( pi/2+x+arctan1/x)

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It's just basic stuff that you should know about differentiation. $\displaystyle f'(x)=\frac1{1+x^2},$ where $\displaystyle f(x)=\arctan x;$ and $\displaystyle f'(x)=1,$ where $\displaystyle f(x)=x.$ Plus, chain rule is involved here.