If y = |sin x||x| then what is the value of \(\frac{{dy}}{{dx}}{\rm{\;}}at{\rm{\;}}x = {\rm{\;}} - \frac{\pi }{6}?\)

\(\frac{{{2^{\frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 + \sqrt 3 \pi } \right)}}{6}\)

\(\frac{{{2^{ - \frac{\pi }{6}}}\left( {6\ln 2 - \sqrt {3\pi } } \right)}}{6}\)

\(\frac{{{2^{ - \frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 + \sqrt 3 \pi } \right)}}{6}\)

\(\frac{{{2^{\frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 - \sqrt 3 \pi } \right)}}{6}\)

If y = |sin x||x| then what is the value of \(\frac{{dy}}{{dx}}{\rm{\

1.	If y = \|sin x\|\|x\| then what is the value of \(\frac{{dy}}{{dx}}{\rm{\;}}at{\rm{\;}}x = {\rm{\;}} - \frac{\pi }{6}?\)
A.	\(\frac{{{2^{ - \frac{\pi }{6}}}\left( {6\ln 2 - \sqrt {3\pi } } \right)}}{6}\)
B.	\(\frac{{{2^{\frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 + \sqrt 3 \pi } \right)}}{6}\)
C.	\(\frac{{{2^{ - \frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 + \sqrt 3 \pi } \right)}}{6}\)
D.	\(\frac{{{2^{\frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 - \sqrt 3 \pi } \right)}}{6}\)
Answer» B. \(\frac{{{2^{\frac{\pi }{6}}}\left( {6{\rm{\;}}ln2 + \sqrt 3 \pi } \right)}}{6}\)

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If y = |sin x||x| then what is the value of \(\frac{{dy}}{{dx}}{\rm{\;}}at{\rm{\;}}x = {\rm{\;}} - \frac{\pi }{6}?\)

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