Expert: Ahmed Salami - 11/11/2009

Question
Ahmed

V=4/3.pi.r3

dV/dr=4.pi.r2 (total surface area)

d2V/dr2=8.pi.r=4.pi.d (what would this represent/mean?)

d3V/dr3=8.pi (ditto)

Andy help you can provide would be appreciated?

Steved

Answer
Hi Steve,
Well, i'm afraid that in this case both d²V/dr² and d³V/dr³ dont actually represent any physical quantity. But of course that is not to say that they dont have any significance, they actually do. In calculus terms they are higher order differentials and they play their own part in the study of the function.
Its like asking what the rate of change of acceleration represents. I'm sure you get my point.

Regards