3. Applications of Derivatives
Curve Sketching — Quiz
Test your understanding of curve sketching with 5 practice questions.
Practice Questions
Question 1
When performing curve sketching, what is the primary purpose of finding the first derivative of a function?
Question 2
What information does the second derivative of a function, $f''(x)$, provide about the graph of $f(x)$?
Question 3
Consider a function $f(x)$. If $f'(c) = 0$ and $f''(c) > 0$ at a critical point $x=c$, what can be concluded about $f(c)$?
Question 4
Which of the following conditions must be met for a point to be considered a point of inflection?
Question 5
To analyze the behavior of a function $f(x)$ and sketch its graph, which of the following is typically the first step in the curve sketching algorithm?