# Thread: what is derivative of 1/(1+x)

1. ## what is derivative of 1/(1+x)

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

2. Originally Posted by kevek
what is derivative of 1/(1+x)?
$y = (ax + b)^n \Rightarrow \frac{dy}{dx} = a n (ax + b)^{n-1}$ is a standard result.

3. Isnt this just $(1+x)^-1$ and hence the derivative is

$f'(x)=-1/(1+x)^-2$

4. Thanks a lot.

5. 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 - $1(1+x)^-2$ which is equal to $-1/(1+x)^2$