Find the Derivative of the Function $$q = \sqrt { 17 r - r ^ { 5 } }$$

question 372

Multiple Choice

Find the derivative of the function.
- $$q = \sqrt { 17 r - r ^ { 5 } }$$

• A) \(\frac { 17 - 5 r ^ { 4 } } { 2 \sqrt { 17 r - r ^ { 5 } } }\)
• B) \(\frac { 1 } { 2 \sqrt { 17 r - r ^ { 5 } } }\)
• C) \(\frac { - 5 r ^ { 4 } } { \sqrt { 17 r - r ^ { 5 } } }\)
• D) \(\frac { 1 } { 2 \sqrt { 17 - 5 r ^ { 4 } } }\)

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Definitions:

Range of Tolerance

The range of environmental conditions that are tolerable for survival in a species.

Physical Conditions

The various aspects of the environment that can influence living organisms, such as temperature, humidity, and air quality.

Chemical Conditions

Refers to the specific chemical environment or parameters that influence the behaviour and state of a substance or system.

Convergent Evolution

The evolutionary process where organisms not closely related independently evolve similar traits due to having to adapt to similar environments or ecological niches.