what is the graphical explanation of nth derivative?
Do u know what it is for the first and second?
yeah
i jst want answer of this question..............not a new question..............
No graphical explanation.
If a function is smooth (probably in the way you're used to thinking about it) if it's infinitely differentiable.
That's not what she's asking (at least not exactly).
lol crackle and pot so funny
there isnt any
only the first and second derivatives actually have any meaning when graphing
third, fourth etc do not really have any meaning.
however there is something about them that you can use for testing min/max of a function
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
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.
You can do a graphic for the jerk, just about...
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
bit off a mouthful , probably wouldnt worry about it too much , but it comes from taylor series
which is second semester university maths
@moon meri happy now?
hmmm
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