WeBWorK Standalone Renderer

Use the level curves of the function $z = f(x,y)$ to determine if each partial derivative at the point $P$ is positive, negative, or zero.

1. $f_{yx} \, (P)$

2. $f_{xx} \, (P)$

3. $f_{x} \, (P)$

4. $f_{y} \, (P)$

5. $f_{yy} \, (P)$

(Click on graph to enlarge)

You can earn 60% partial credit for 3 - 4 correct answers.