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Mathematics 23 Online
OpenStudy (anonymous):

what is the graphical explanation of nth derivative?

OpenStudy (anonymous):

Do u know what it is for the first and second?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

i jst want answer of this question..............not a new question..............

OpenStudy (anonymous):

No graphical explanation.

OpenStudy (anonymous):

u can amuse yourself here http://en.wikipedia.org/wiki/Jounce

OpenStudy (anonymous):

If a function is smooth (probably in the way you're used to thinking about it) if it's infinitely differentiable.

OpenStudy (anonymous):

That's not what she's asking (at least not exactly).

OpenStudy (anonymous):

lol crackle and pot so funny

OpenStudy (anonymous):

there isnt any

OpenStudy (anonymous):

only the first and second derivatives actually have any meaning when graphing

OpenStudy (anonymous):

third, fourth etc do not really have any meaning.

OpenStudy (anonymous):

however there is something about them that you can use for testing min/max of a function

OpenStudy (anonymous):

i think the third derivative is used in physics are something i dont know i seen it in a cal 1 book once and we never used it was called the jerk

OpenStudy (anonymous):

Yeah, it depends on what you're graphing. If you're graphing a positional graph, the graph of the third derivative will be its acceleration, the fourth will be jerk, etc., but there is no single meaning for the nth derivative.

OpenStudy (anonymous):

You can do a graphic for the jerk, just about...

OpenStudy (anonymous):

something about if the first n derivatives are zero at x=a , but the (n+1) derivative is non zero , then if (n+1) is even , and the (n+1)th derivative is positive then you have a local minimum , if (n+1) is even but the (n+1) derivative is negative then you have local maximum , and if (n+1) is odd then you a have a horizontal inflection

OpenStudy (anonymous):

bit off a mouthful , probably wouldnt worry about it too much , but it comes from taylor series

OpenStudy (anonymous):

which is second semester university maths

OpenStudy (anonymous):

@moon meri happy now?

OpenStudy (anonymous):

hmmm

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