Find the Second Derivative $$r = \frac { 2 } { s ^ { 3 } } - \frac { 9 } { s }$$

question 145

Multiple Choice

Find the second derivative.
- $$r = \frac { 2 } { s ^ { 3 } } - \frac { 9 } { s }$$

• A) \(\frac { 2 } { s ^ { 5 } } - \frac { 9 } { s ^ { 3 } }\)
• B) \(\frac { 24 } { s ^ { 5 } } + \frac { 18 } { s ^ { 3 } }\)
• C) \(\frac { 24 } { s ^ { 5 } } - \frac { 18 } { s ^ { 3 } }\)
• D) \(- \frac { 6 } { s ^ { 4 } } + \frac { 9 } { s ^ { 2 } }\)

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Definitions:

Standard Deviation

A statistical measure of the dispersion or variation in a set of numbers, indicating how spread out the values are.

Inverse Relationship

A type of correlation where one variable increases while the other decreases, and vice versa.

Negative Correlation

A linkage between two variables that demonstrates an inverse relationship: one rises as the other falls.

Correlational Research

A research method that examines the relationship between two or more variables to determine if they are associated.