1.

\[\frac{d}{dx}\left( {{x}^{2}}\sin \frac{1}{x} \right)=\]

A.            \[\cos \,\left( \frac{1}{x} \right)+2x\sin \left( \frac{1}{x} \right)\]
B.            \[2x\sin \left( \frac{1}{x} \right)-\cos \left( \frac{1}{x} \right)\]
C.            \[\cos \left( \frac{1}{x} \right)-2x\sin \left( \frac{1}{x} \right)\]
D.            None of these
Answer» C.            \[\cos \left( \frac{1}{x} \right)-2x\sin \left( \frac{1}{x} \right)\]


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