Find All Possible Functions with the Given Derivative $$\mathrm { y } ^ { \prime } = 7 \mathrm { x } ^ { 9 }$$

question 33

Multiple Choice

Find all possible functions with the given derivative.
- $$\mathrm { y } ^ { \prime } = 7 \mathrm { x } ^ { 9 }$$

• A) \(\frac { 9 } { 7 } x ^ { 10 } + C\)
• B) \(\frac { 7 } { 9 } x ^ { 10 } + C\)
• C) \(\frac { 7 } { 10 } x ^ { 10 } + C\)
• D) \(\frac { 1 } { 6 } x ^ { 10 } + C\)

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Definitions:

Prosocial Goals

Objectives aimed at benefiting others or society as a whole, often emphasizing altruism and cooperation.

Impulse Control

The ability to resist or delay immediate temptations or urges in order to achieve longer-term goals.

Adlerian Theory

A psychological approach focusing on individual psychology and the importance of feelings of inferiority and striving for superiority.

Responsibility

The condition of being responsible for addressing an issue or being in charge of someone.