What do the different levels of derivative mean?

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In real life what does it mean? I remember d1 is the slope at a given point. D2… D3… D4 jerk? What do D5 and D6 mean? I took calc 2 in uni but I cant remember and have no idea anymore.

In: Mathematics

4 Answers

Anonymous 0 Comments

Each level of derivative has a different purpose depending on context. For instance, the first derivative of location is velocity. The second is acceleration. The third, change in acceleration, has no name but us humans like when this value stays small.

That’s just one example tho. Going too many derivatives in has no significant meaning usually, beyond taylor approximations.

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