1.

\[\frac{d}{dx}\left[ \log \left( x+\frac{1}{x} \right) \right]=\]                                            [MP PET 1995]

A.            \[\left( x+\frac{1}{x} \right)\]
B.            \[\frac{\left( 1+\frac{1}{{{x}^{2}}} \right)}{\left( 1+\frac{1}{x} \right)}\]
C.            \[\frac{\left( 1-\frac{1}{{{x}^{2}}} \right)}{\left( x+\frac{1}{x} \right)}\]
D.            \[\left( 1+\frac{1}{x} \right)\]
Answer» D.            \[\left( 1+\frac{1}{x} \right)\]


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