5. Analytical Applications of Differentiation

Connecting A Function, Its First Derivative, And Its Second Derivative — Quiz

Test your understanding of connecting a function, its first derivative, and its second derivative with 5 practice questions.

Practice Questions

Question 1

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

Question 2

If $f'(x) < 0$ on an interval, which statement is true?

Question 3

What does it mean if $f''(x) > 0$ on an interval?

Question 4

If $f''(x) < 0$ on an interval, how is the graph of $f$ shaped?

Question 5

A function has $f'(c) = 0$ and $f''(c) > 0$. What does this usually indicate at $x = c$?