Find the Derivative of Y with Respect to the Independent $$y = \log _ { 2 } \left( \frac { \sin \theta \cos \theta } { e ^ { \theta } 8 ^ { \theta } } \right)$$

question 481

Multiple Choice

Find the derivative of y with respect to the independent variable.
- $$y = \log _ { 2 } \left( \frac { \sin \theta \cos \theta } { e ^ { \theta } 8 ^ { \theta } } \right)$$

• A) \(\frac { 1 } { \ln 2 } ( \cot \theta - \tan \theta - \ln 8 - 1 )\)
• B) \(\mathrm { e } ^ { 2 } \left( \cos \theta - \sin \theta - \mathrm { e } ^ { \theta } 8 ^ { \theta } \right)\)
• C) \(\frac { 1 } { \ln 2 } ( \sec \theta \csc \theta - \ln 8 - 1 )\)
• D) \(\frac { 1 } { \ln 2 } \left( \frac { e ^ { \theta } \theta ^ { \theta } } { \sin \theta \cos \theta } \right)\)

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