Find F '(X)if $f ( x ) = \sin \sqrt { \ln x + 2 }$

question 164

Multiple Choice

Find f '(x) if $f ( x ) = \sin \sqrt { \ln x + 2 }$ .

• A) \(\frac { \cos \sqrt { \ln x + 2 } } { x }\)
• B) \(\frac { \cos x } { 2 x }\)
• C) \(\frac { x \cos \sqrt { \ln x + 2 } } { 2 \sqrt { \ln x + 2 } }\)
• D) \(\frac { \cos \sqrt { \ln x + 2 } } { 2 x \sqrt { \ln x + 2 } }\)

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Definitions:

Opiate Drugs

Substances derived from the opium poppy, used for their analgesic properties, but often associated with dependency.

Morphine

A powerful analgesic drug derived from opium, used to relieve severe pain.

Heroin

An illegal, highly addictive opioid drug derived from morphine, known for its euphoric effects but also associated with serious health risks.

Opiate Drugs

Narcotic drugs derived from opium or opium-like compounds, used medically to relieve pain but can lead to addiction.