- #1

tectactoe

- 39

- 0

[tex]x'(t) = v(t) = velocity[/tex]

[tex]x''(t) = v'(t) = a(t) = acceleration[/tex]

[tex]x'''(t) = v''(t) = a'(t) = j(t) = jerk[/tex] (assuming j is the symbol for jerk).

But what does [tex]x''''(t) = j'(t)[/tex] come out to be? Is there a fourth derivative of position? And if so, is it ever practically used?

What about fifth, sixth, seventh, etc derivatives?

This is just something I've been extremely curious about since I learned of the third derivative, jerk (or jolt).

Thanks!