Problem not for nervous.

Thread view:

Thread rating:

yuyukin - 23 Mar 2009 13:42 GMT

y=pi*r^3
y'=?
Only do not think, that it is a joke or disrespect for participants of a forum. The EXHAUSTIVE answer is necessary to me!

William Elliot - 23 Mar 2009 13:57 GMT

> y=pi*r^3
> y'=?

y' = 3pi.r^2 r'

Torsten Hennig - 23 Mar 2009 14:03 GMT

> y=pi*r^3
> y'=?
> Only do not think, that it is a joke or disrespect
> t for participants of a forum. The EXHAUSTIVE answer
> is necessary to me!

Derivate with respect to what ?
y(r) = pi*r^3 -> dy/dr = pi*3*r^2
y(t) = pi*r(t)^3 -> dy/dt = pi*3*r^2*dr/dt
..

Best wishes
Torsten.

yuyukin - 24 Mar 2009 09:45 GMT

And if y=pi*r^3 - volume of a cone with the height equal to radius?

HallsofIvy - 24 Mar 2009 11:38 GMT

> And if y=pi*r^3 - volume of a cilinder with the
> height equal to radius?
>
> Message was edited by: Mishin

??Then the answer is exactly the same, of course, 3pi r^2 r'. How you got the formula doesn't change its derivative.

yuyukin - 26 Mar 2009 13:02 GMT

http://eqworld.ipmnet.ru/forum/viewtopic.php?f=3&t=134

Math Forum / Mathematics / Undergraduate Math / March 2009