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

question 66

Multiple Choice

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

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

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