4. Partial Derivatives

First-order Partials — Quiz

Test your understanding of first-order partials with 5 practice questions.

Practice Questions

Question 1

What does the operator $\frac{\partial}{\partial x}$ mean when applied to a function $f(x,y)$?

Question 2

Compute $\frac{\partial}{\partial x}(3x^2y-4y)$.

Question 3

For $f(x,y)=x^2y+5x$, what is $f_y(2,3)$?

Question 4

If $f(x,y)=x^2+xy+y^2$, what is $f_x(1,2)$?

Question 5

Which notation is commonly used for the first-order partial derivative of $f$ with respect to $y$?