Question

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

y =In e^x/1 + e^x

Answer 1

`(1)/(1+e^x)`

Explanation:

We are given:
`y = \ln( (e^x)/(1+e^x) )`

The Division and Logarithm properties of the Derivative will be used.

`y' =\frac{(e^x(1+e^x)-e^xe^x)/((1+e^x)^2)}{\frac {e^x}{1+e^x}} =(1)/(1+e^x)`