5. Calculus

Modelling With Differentiation — Quiz

Test your understanding of modelling with differentiation with 5 practice questions.

Practice Questions

Question 1

In modelling with differentiation, what does the derivative of a function usually represent at a point?

Question 2

If $s(t)$ represents the position of an object, what does $\frac{ds}{dt}$ represent?

Question 3

A function has derivative $f'(x) > 0$ on an interval. What does this usually tell you about the function on that interval?

Question 4

What is the main purpose of using differentiation in a mathematical model?

Question 5

If $f'(a) = 0$, what is one possible meaning of this in a model?