Differentiate the Function $$y = \ln \left( x ^ { 3 } \sin ^ { 2 } x \right)$$

question 61

Multiple Choice

Differentiate the function.
$$y = \ln \left( x ^ { 3 } \sin ^ { 2 } x \right)$$

• A)
• \(y ^ { \prime } = \frac { 3 \cos x + 2 x \sin x } { x \cos x }\)
• B)
• \(y ^ { \prime } = \frac { 3 x ^ { 2 } + \cos x \sin x } { \cos x }\)
• C)
• \(y ^ { \prime } = \frac { 3 \sin x + x \cos x } { x ^ { 3 } \sin ^ { 2 } x }\)
• D)
• \(y ^ { \prime } = \frac { 3 \sin x - 2 x } { x \sin x }\)
• E)
• \(y ^ { t } = \frac { 3 \sin x + 2 x \cos x } { x \sin x }\)