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\text { PROBLEM TO ELABORATE - Differentiate the following function! } f(x)=\left\{\begin{array}{ll}

x^{-1} \cdot \arctan x, & \text { if } x<0, \\

1, & \text { if } x=0 \\

x^{-1} \cdot \sin x, & \text { if } x>0

\end{array}\right. FOUR CHOICE QUESTION - Consider, the function f above (that is, exactly the f above)

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