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$\frac{d}{{dx}}\left( {{3^{{{\log }_{10}}|\cos e{c^{ - 1}}x|}}} \right) =\ ......$

• A
  $\frac{{{3^{{{\log }_{10}}|\cos e{c^{ - 1}}x|}}}}{{\cos e{c^{ - 1}}x}}\left( {\frac{1}{{x\sqrt {{x^2} - 1} }}{{\log }_{10}}3} \right)$
• ✓
  $ - \frac{{{3^{{{\log }_{10}}|\cos e{c^{ - 1}}x|}}}}{{\cos e{c^{ - 1}}x}}\left( {\frac{1}{{\left| x \right|\sqrt {{x^2} - 1} }}{{\log }_{10}}3} \right)$
• C
  $ - \frac{{{3^{{{\log }_{10}}|\cos e{c^{ - 1}}x|}}}}{{\cos e{c^{ - 1}}x}}\left( {\frac{1}{{\left| x \right|\sqrt {{x^2} - 1} }}{{\log }_3}10} \right)$
• D
  ${3^{{{\log }_{10}}|cose{c^{ - 1}}x|}}.\log 3$