4. Partial Derivatives

Higher-order Partials — Quiz

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

Practice Questions

Question 1

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

Question 2

For $f(x,y)=x^3+4xy-y^2$, what is $f_{xx}$?

Question 3

For $f(x,y)=e^{x+y}$, what is $f_{xy}(0,0)$?

Question 4

What does the notation $f_{yx}$ mean?

Question 5

For $f(x,y)=x^2y+5y$, what is $f_{yy}$?