Find the Derivative Of $f ( x ) = \sin \left( x ^ { 3 } \right)$

question 128

Multiple Choice

Find the derivative of $f ( x ) = \sin \left( x ^ { 3 } \right)$ .

• A) \(3 \cos ^ { 2 } x\)
• B) \(\cos \left( 3 x ^ { 2 } \right)\)
• C) \(3 \sin ^ { 2 } x\)
• D)\(3 \sin ^ { 2 } x \cos x\)
• E) \(3 x ^ { 2 } \sin x\)
• F) \(3 x ^ { 2 } \cos \left( x ^ { 3 } \right)\)
• G) \(3 x ^ { 2 } \cos x\)
• H)None of these

---

Definitions:

Bronchitis

Inflammation of the bronchial tubes, often characterized by coughing, wheezing, and difficulty breathing.

Moistened

Slightly wet or dampened; having moisture added to make something slightly wet.

Epiglottis

A cartilaginous lid that closes over the larynx when swallowing.

Larynx

A cartilaginous structure at the top of the trachea involved in breathing, producing sound, and protecting the airway during swallowing.