posted by amy .
find the nth derivative of 2/(x+1)
df/dx = -2/(x+1)^2
d²f/dx² = 4/(x+1)³
d³f/dx² = -12/(x+1)^4
d10f/dx10 = 7257600/(x+1)^11
The last derivative is intended to be a test for your "rule", which your teacher would like you to discover.
If you wish, you could send in your nth derivative for a check.