$\text { A point is moving along the graph of the function } y = \frac { 1 } { 9 x ^ { 2 } + 4 } \text { such that } \frac { d x } { d t } = 2$

question 80

Multiple Choice

$\text { A point is moving along the graph of the function } y = \frac { 1 } { 9 x ^ { 2 } + 4 } \text { such that } \frac { d x } { d t } = 2$ centimeters per second. Find $\frac { d y } { d t }$ when $x = 2$ .

• A) \(\frac { d y } { d t } = - \frac { 9 } { 5 }\)
• B) \(\frac { d y } { d t } = \frac { 9 } { 200 }\)
• C) \(\frac { d y } { d t } = \frac { 9 } { 400 }\)
• D) \(\frac { d y } { d t } = - \frac { 9 } { 400 }\)
• E) \(\frac { d y } { d t } = - \frac { 9 } { 200 }\)

---

Definitions:

Eustress

Positive stress that can motivate individuals, leading to improved performance and well-being.

Negative Response

An adverse reaction or answer to a stimulus, situation, or question, often reflecting disapproval or dissatisfaction.

Adams' Theory

Refers to Equity Theory developed by J.Stacy Adams, suggesting that employees are motivated when they perceive their treatment at work as fair, especially in relation to others.

Inequity

A lack of fairness or justice within a situation or towards individuals or groups.