4. Differential Calculus II

Partial Differentiation Basics — Quiz

Test your understanding of partial differentiation basics with 5 practice questions.

Practice Questions

Question 1

What does the partial derivative of $f(x,y)$ with respect to $x$ measure?

Question 2

If $f(x,y)=3x^2y+2y$, what is $\frac{\partial f}{\partial x}$?

Question 3

If $f(x,y)=3x^2y+2y$, what is $\frac{\partial f}{\partial y}$?

Question 4

For $f(x,y)=x^2+4xy+y^2$, what is $\frac{\partial^2 f}{\partial x^2}$?

Question 5

If $f(x,y)=x^2y+y^3$, what is $\frac{\partial f}{\partial y}$?