1.

\[\frac{d}{dx}\left[ \log \left\{ {{e}^{x}}{{\left( \frac{x-2}{x+2} \right)}^{3/4}} \right\} \right]\] equals to          [RPET 2001]

A.            1
B.            \[\frac{{{x}^{2}}+1}{{{x}^{2}}-4}\]
C.            \[\frac{{{x}^{2}}-1}{{{x}^{2}}-4}\]
D.            \[{{e}^{x}}\frac{{{x}^{2}}-1}{{{x}^{2}}-4}\]
Answer» D.            \[{{e}^{x}}\frac{{{x}^{2}}-1}{{{x}^{2}}-4}\]


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