-Find $\frac { d } { d x } \left( \frac { 2 \cdot g ( x ) } { x ^ { 2 } + 1 } \right) \text { when } x = 0$

question 137

Multiple Choice

$\begin{array} { | r | c | c | c | c | } \hline x & f ( x ) & f ^ { \prime } ( x ) & g ( x ) & g ^ { \prime } ( x ) \\\hline - 6 & 7 & - 8 & - 6 & 7 \\- 4 & 1 & - 5 & 0 & 5 \\- 2 & 3 & - 2 & 4 & 3 \\0 & 5 & 0 & 6 & 1 \\2 & - 5 & 1 & 6 & - 1 \\4 & - 3 & 3 & 4 & - 3 \\6 & 1 & 5 & 0 & - 5 \\\hline\end{array}$
-Find $\frac { d } { d x } \left( \frac { 2 \cdot g ( x ) } { x ^ { 2 } + 1 } \right) \text { when } x = 0$

• A) \(- 10\)
• B) \(- 6\)
• C)2
• D)10
• E)14
• F)16
• G)20
• H)24

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Definitions:

Velocity

The speed of something in a given direction, often used in the context of moving objects or fluids.

Urbanization

Urbanization is the process through which rural areas become transformed into urban areas, typically involving an increase in population and infrastructure development.

Levees

Embankments constructed near water bodies to prevent flooding and manage water flow.

Discharge

In hydrology, discharge refers to the volume of water moving through a given point or passage in a specified period of time, often measured in cubic feet per second or cubic meters per second.