Let $f ( x ) = \log _ { 3 } x ^ { 2 }$

question 34

Multiple Choice

Let $f ( x ) = \log _ { 3 } x ^ { 2 }$ . Find the value of $f ^ { \prime } ( 2 )$ .

• A) \(3 ^ { e }\)
• B)ln 3
• C)ln \(\left( \frac { 1 } { 3 } \right)\)
• D)1
• E) \(\frac { 1 } { \sqrt { 3 } }\)
• F) \(\frac { 1 } { \ln 3 }\)
• G)
• \(\frac { 1 } { 3 }\)
• H) \(\sqrt { 3 }\)

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Definitions:

Peripheral Artery Disease

A common circulatory problem in which narrowed arteries reduce blood flow to the limbs, causing pain and fatigue, mostly in the legs.

Heart Attack

A medical emergency where the blood flow to the heart is suddenly blocked, leading to damage of the heart muscle.

Stroke

A health issue wherein the flow of blood to a segment of the brain is either halted or diminished, causing the brain tissue to be deprived of oxygen and essential nutrients.

Cardiovascular Disease

A class of diseases that involve the heart or blood vessels, often related to atherosclerosis or buildup of plaque in the arteries.