How to plot Maxwell's resultant equation?

Question

infographics

Here are the graphs:

The equation itself:

I realized that the top point of the graph is the most probable speed of the molecules. But how to find it and how to find other speeds? Just plug them into the f(v) equation and compare to get the highest score?

Answer 1

I realized that the top point of the graph is the most likely speed of the molecules. But how do you find it...

df(v)/dv = 0.
What is "remaining speeds"?