The Student Room Group

Further Maths rates of change and second differentiation

No sure how about to start this. Help!
Screen Shot 2016-09-19 at 14.11.46.png
Lay out the information.

S=πr2+2πrhS=\pi r^2 + 2\pi r h

300=πr2hh=300πr2300=\pi r ^2 h \Rightarrow h=\frac{300}{\pi r^2}

Sub hh into SS and differentiate it with respect to r. Make it equal 0 and solve for r. Check this gives the minimum and plugging it through the second differential.
Reply 3


if your not going to be helpful jog on or do you not have a life
Original post by forxer
if your not going to be helpful jog on or do you not have a life


But you literally posted the same thing on the other thread, no need for a duplicate.
Reply 5
Original post by RDKGames
Lay out the information.

S=πr2+2πrhS=\pi r^2 + 2\pi r h

300=πr2hh=300πr2300=\pi r ^2 h \Rightarrow h=\frac{300}{\pi r^2}

Sub hh into SS and differentiate it with respect to r. Make it equal 0 and solve for r. Check this gives the minimum and plugging it through the second differential.


so i got r as 1/300pi for the first differentiate
Original post by forxer
if your not going to be helpful jog on or do you not have a life


That is very helpful for everyone else, it avoids duplication of efforts :h:
Reply 7
Original post by SeanFM
That is very helpful for everyone else, it avoids duplication of efforts :h:


true my bad
Original post by forxer
so i got r as 1/300pi for the first differentiate


Show your working if you get stuck.

Quick Reply

Latest