$\text { Find the derivative of the function } \frac { \sin x } { 2 x + \cos x } \text {. Simplify your answer. }$

question 99

Multiple Choice

$\text { Find the derivative of the function } \frac { \sin x } { 2 x + \cos x } \text {. Simplify your answer. }$

• A)
• \(\frac { 2 x \cos x - \cos ^ { 2 } x - 2 \sin x + \sin ^ { 2 } x } { ( 2 x + \cos x ) ^ { 2 } }\)
• B)
• \(\frac { \cos x } { ( 2 - \sin x ) ^ { 2 } }\)
• C) \(\frac { \cos x } { 2 - \sin x }\)
• D) \(\frac { 1 + 2 x \cos x - 2 \sin x } { ( 2 x + \cos x ) ^ { 2 } }\)
• E) \(\frac { 2 x \cos x + \cos ^ { 2 } x - 2 \sin x - \sin ^ { 2 } x } { ( 2 x + \cos x ) ^ { 2 } }\)

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