Find the Indicated Derivative $\frac { d v } { d t }$

question 58

Multiple Choice

Find the indicated derivative.
- $\frac { d v } { d t }$ if $v = t + \frac { 6 } { t }$

• A) \(1 + \frac { 6 } { t ^ { 2 } }\)
• B) \(t - \frac { 6 } { t ^ { 2 } }\)
• C) \(1 - \frac { 6 } { t ^ { 2 } }\)
• D) \(1 - \frac { 6 } { t }\)

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Definitions:

Physical Factors

Environmental elements that can influence the functioning of an organism or system, such as climate, terrain, or availability of resources.

Human Factors

The study of how humans interact with various systems and environments, aiming to improve efficiency, safety, and usability.

Intermittent Production System

A manufacturing process in which the production run is short and the machines are changed frequently to make different products.