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 $f'(x) > 0$ on an interval, what can be said about $f$ on that interval?

Question 2

What does $f''(x) > 0$ on an interval tell you about the graph of $f$ there?

Question 3

Suppose $f'(c) = 0$ and $f'$ changes from positive to negative at $x = c$. What happens at $x = c$?

Question 4

What is the relationship between a function and its derivative at a point where the function has a horizontal tangent line?

Question 5

Which statement best describes an inflection point?