Use the Product Rule to Differentiate $f ( t ) = t ^ { - 3 } \cos t$

question 16

Multiple Choice

Use the Product Rule to differentiate. $f ( t ) = t ^ { - 3 } \cos t$

• A) \(f ( t ) = - t ^ { - 3 } \sin t + 3 t ^ { - 4 } \cos t\)
• B) \(f ^ { t } ( t ) = 3 t ^ { - 2 } \cos t - t ^ { - 3 } \sin t\)
• C) \(f ^ { t } ( t ) = t ^ { - 3 } \sin t - 3 t ^ { - 4 } \cos t\)
• D) \(f ^ {t } ( t ) = - t ^ { - 3 } \sin t - 3 t ^ { - 4 } \cos t\)
• E) \(f ^ { t } ( t ) = - t ^ { - 3 } \sin t + 3 t ^ { - 4 } \sin t\)

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