Sprint

5 minutes. A graph at a time: name its function. Three strikes.

Three guesses at each curve. Miss all three, or skip it, and that is a strike.
Lines, parabolas and eˣ first; then |x|, waves and roots; then logs and poles; then the weekend Curve families.
Only exactly right counts - but any way of writing the same function is exactly right.

Today's problem

\frac{d}{d x} [- 4 x - \frac{5}{x ^{2}}]

The hard one · double XP

For f (x, y) = 4 x^{2} + 2 x y^{2} - 11 y^{2}, find f_{xx} f_{y y} - (f_{x y})^{2} at (0, 2)