# Thread: Derivative with natural logarithm

1. ## Derivative with natural logarithm

Could somebody please help me find the derivative of the following function please?:

y = ln(e^(-x) + xe^(-x))

Any help would be greatly appreciated!
Thanks in advance!

2. Originally Posted by s3a
Could somebody please help me find the derivative of the following function please?:

y = ln(e^(-x) + xe^(-x))

Any help would be greatly appreciated!
Thanks in advance!
$y = \ln[e^{-x}(1 + x)] = \ln(e^{-x}) + \ln(1+x) = -x + \ln(1+x)$

now take the derivative ...