Find All Possible Functions with the Given Derivative $$y ^ { \prime } = 3 t - \frac { 2 } { \sqrt { t } }$$

question 113

Multiple Choice

Find all possible functions with the given derivative.
- $$y ^ { \prime } = 3 t - \frac { 2 } { \sqrt { t } }$$

• A) \(3 t ^ { 2 } - 4 \sqrt { t } + C\)
• B) \(t ^ { 2 } - 2 \sqrt { t } + C\)
• C) \(3 t ^ { 2 } - \frac { 2 } { \sqrt { t } } + C\)
• D) \(\frac { 3 } { 2 } t ^ { 2 } - 4 \sqrt { t } + C\)

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Definitions:

Systematic Risk

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Standard Deviation

A statistical measure of the dispersion or variability of a set of data points, often used in finance to quantify the risk of investment returns.

Security Market Line

A representation in financial economics that shows the relation between the risk of an asset and its expected return.

Expected Return-Beta Relationship

A concept in finance that describes the relationship between the expected return of an investment and its beta, indicating the investment's relative risk compared to the market.