# Is there a way to visualize, like a picture in mind, the $n$-th derivative?

Is there a way to visualize (like a picture in mind) the $n$-th derivative ?

For $n=1$ is the tangent line and we can visualize it quite well.

More abstractly is it possible to see the geometric significance of the $n$-th derivative for all $n$?

For example can the human eye distinguish the graph of a $C^4$ function from a $C^5$ function ?