5. Analytical Applications of Differentiation

Sketching Graphs Of Functions And Their Derivatives — Quiz

Test your understanding of sketching graphs of functions and their derivatives with 5 practice questions.

Practice Questions

Question 1

If the graph of $f$ is increasing on an interval, what can be said about the graph of $f'$ on that interval?

Question 2

What does a horizontal tangent on the graph of $f$ usually indicate about $f'$ at that point?

Question 3

If $f''(x)>0$ on an interval, what is the shape of the graph of $f$ on that interval?

Question 4

What happens to the graph of $f$ at an inflection point?

Question 5

If $f'$ changes from positive to negative at a point, what happens to $f$ there?