$\text { Use the Quotient Rule to differentiate the function } f ( x ) = \frac { \sin x } { x ^ { 2 } + 3 } \text {. }$

question 88

Multiple Choice

$\text { Use the Quotient Rule to differentiate the function } f ( x ) = \frac { \sin x } { x ^ { 2 } + 3 } \text {. }$

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

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