what is derivative of 1/(1+x)?

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- Aug 28th 2008, 04:16 AMkevekwhat is derivative of 1/(1+x)
what is derivative of 1/(1+x)?

- Aug 28th 2008, 04:30 AMmr fantastic
- Aug 28th 2008, 04:30 AMmoolimanj
Isnt this just $\displaystyle (1+x)^-1$ and hence the derivative is

$\displaystyle f'(x)=-1/(1+x)^-2$ - Aug 28th 2008, 04:32 AMkevek
Thanks a lot.

- Aug 28th 2008, 04:35 AMmoolimanj
oooops - the -2 should be a 2 since i have put it in fraction form. If it wasnt in fraction form the answer would be -$\displaystyle 1(1+x)^-2$ which is equal to $\displaystyle -1/(1+x)^2$