If $f ( x ) = 6 \cos x + \sin ^ { 2 } x$

question 8

Multiple Choice

If $f ( x ) = 6 \cos x + \sin ^ { 2 } x$ , find $f ^ { \prime } ( x )$ and $f ^ { \prime \prime } ( x )$ .

• A) \(f ^ { tt } ( x ) = - 6 \cos ( 2 x ) + 2 \cos ( x )\)
• B) \(f ^ { t } ( x ) = - 6 \sin ( x ) + \sin ( 2 x )\)
• C) \(f ^ { t } ( x ) = - 6 \sin ( 2 x ) + \sin ( x )\)
• D) \(f ^ { tt } ( x ) = - 6 \cos ( x ) + 2 \cos ( 2 x )\)
• E) \(f ^ { tt } ( x ) = - 2 \cos ( 2 x ) + 6 \cos ( x )\)

---

Definitions:

Several Months

A term indicating a period of time extending through multiple calendar months.

Current Year

The present calendar year or fiscal year in which business is conducted or financial statements are prepared.

Standard Form

A recognized format or structure for documents or problems, making it easier to use, compare, or analyze.

Performance Evaluation

The process of assessing an employee's job performance and productivity in relation to established criteria and objectives.