Find the Derivative Of $f ( x ) = \frac { 2 x } { x - 2 }$

question 6

Essay

Find the derivative of $f ( x ) = \frac { 2 x } { x - 2 }$ at the point $\left( - 3 , \frac { \mathfrak { 6 } } {5 } \right)$ .

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Definitions:

Seasonal Affective Disorder

A type of depression that occurs at a specific time of the year, usually during winter, when there is less natural sunlight.

Cyclical Depressive Pattern

A form of depression marked by phases of significant depressive symptoms that come and go in a recurring, predictable pattern.

Winter Blues Syndrome

Another term for Seasonal Affective Disorder (SAD), a type of depression related to changes in seasons, especially prevalent during the winter months.

Psychological Disorders

Mental disorders characterized by patterns of behavior or thought that are significant enough to interfere with one's ability to function in daily life.