During reading math essentials i lacked of imagination about how a derivative of different basic functions looks like. Matplotlib and some python code helped me out. This is my visual cheat sheet table.
It's more like an exercise for better memorizing and understanding through practice.
Didn't build many charts with matplotlib before, the library isn't for beginners and using OOP concepts is quite difficult with it. At the moment the details on the picture are enough to depict rate change.
The chart building script make_table.py
What is really helpful is to see two cases of exponential and tangent charts. How their velocity, speed, and derivative differs from the others.