Re: "''inflection point''



In article <68Gci.5061$2K1.2815@xxxxxxxxxxxx>,
"David Moran" <dmoran21@xxxxxxxxxxxxx> wrote:

"sinanasik" <asik.sinan@xxxxxxxxx> wrote in message
news:1181937079.962333.12290@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
We know geometric mean of the first and second derivative of a
function. Are there any geometric explanation about 3. and 4.
derivative of a function?
thanks for now:)


The only interpretation of the third derivative that I've ever seen is that
if a function, say f(t) represents the position of something at time t, then
the third derivative is called "jerk". In my experience, I seldom deal with
derivatives of order greater than 2, but I'm sure there are applications for
higher order derivatives.

In laying out curves for train tracks the third
derivative must be continuous to give passengers a
comfortable ride.

--
Michael Press
.



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