Find All Possible Functions with the Given Derivative $y ^ { \prime } = 3 t - \frac { 4 } { \sqrt { t } }$

question 150

Multiple Choice

Find all possible functions with the given derivative.
- $y ^ { \prime } = 3 t - \frac { 4 } { \sqrt { t } }$

• A) \(3 t ^ { 2 } - \frac { 4 } { \sqrt { t } } + C\)
• B) \(t ^ { 2 } - 4 \sqrt { t } + C\)
• C) \(3 t ^ { 2 } - 8 \sqrt { t } + C\)
• D) \(\frac { 3 } { 2 } t ^ { 2 } - 8 \sqrt { t } + C\)

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Definitions:

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Risk Averse

A description of an individual or entity's preference to avoid uncertainty, often choosing options with more predictable outcomes.

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Utility Function

Describes how a consumer ranks different baskets of goods based on the level of satisfaction or utility derived from them.