4. Contextual Applications of Differentiation

Rates Of Change In Applied Contexts Other Than Motion — Quiz

Test your understanding of rates of change in applied contexts other than motion with 5 practice questions.

Practice Questions

Question 1

A company’s profit is modeled by $P(x)$, where $x$ is the number of units sold. What does $P'(50)$ represent?

Question 2

If the cost of producing $x$ items is $C(x)$, which statement best describes $C'(x)$?

Question 3

A rectangular garden has area $A$ that depends on its width $w$. What are the units of $\frac{dA}{dw}$?

Question 4

A store’s revenue is $R(x)$, where $x$ is the number of items sold. Which quantity is most closely related to marginal revenue?

Question 5

The temperature $T(t)$ of a cup of coffee depends on time $t$. What does a negative value of $T'(t)$ mean?