Thread: maximise wrt w

having difficulty solving this:

differentiate wrt to n first, then solve for it

W = n[{10/[(n+1)]}^2] + 50[{(n)/(n+1)}^2]

dw/dn ( i think gives):

0= -200n/[{n+1}^3] + 100/[(n+1)^2] - 30 + 50(n^2) [-2/[(n+1)^3]] + 100n/((n+1)^2)

then dont know how to solve for n?

Hello, tickman!

Differentiate wrt to

. . W .= .n*[10/[(n+1)]^2 + 50*[{n/(n+1)]^2

If I read the problem correctly, we have:

. . . . . . . . . 100n . . . . . . 50n^2 . . . . . . . . . n^2 + 2n
. . W . = . ------------ .+ .------------- . = . 50 . ------------
. . . . . . . .(n + 1)^2 . . . (n + 1)^2 . . . . . . . .(n + 1)^2


Now differentiate that . . .