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

question 44

Multiple Choice

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

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

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Definitions:

Genome

The complete structure sequence of DNA for a species.

DNA

Deoxyribonucleic acid, the hereditary material in humans and almost all other organisms, containing the genetic instructions for development, functioning, growth, and reproduction.

Genotype

The alleles possessed for a particular trait.

Homo Sapiens

The species name for modern humans, characterized by a larger brain, upright posture, and capacity for complex language and thought.