3. Partial Derivatives

Functions Of Several Variables — Quiz

Test your understanding of functions of several variables with 5 practice questions.

Practice Questions

Question 1

Which of the following is an example of a function of two variables?

Question 2

What does the graph of a function $f(x, y)$ of two variables represent?

Question 3

Which of the following best describes a level curve of a function $f(x, y)$?

Question 4

Given $f(x, y) = x^2 + 2y^2$, what is the value of $f(1, -2)$?

Question 5

For the function $f(x, y) = x^2 - y^2$, what is the shape of its level curve when $f(x, y) = 0$?