Jack and Jill went out for pizza. While gagging on a pepper, Jack began to channel Sir Isaac Newton. He furiously drew eight graphs onto eight napkins, and then named each graph. Copies of these amazing eight napkins, together with the names Jack gave them, can be found below.

Jill was skeptical, until she noticed that one of the graphs showed a function whose derivative was graphed on a different napkin. In fact:

Here are four functions whose derivatives are graphed on other napkins:

 1. bucket
 2. staircase
 3. scribble
 4. double swoosh

Here are the names of the four derivative functions:

A. ascent
B. low double bucket
C. high double bucket
D. bottomless bucket

Match the two. That is, place the letter A, B, C, or D from the second set of napkins next to the number 1, 2, 3, or 4 of the function whose derivative it depicts.

You can earn partial credit on this problem.