Question

How do you differentiate `f(x) =1/(e^(3x)+1)` using the quotient rule?

Answer 1

`= - ( 3 e^(3x) )/(e^(3x)+1)^2`

Explanation:

`f(x) =1/(e^(3x)+1)`

Quotient Rule `(u/v)' = (u'v - uv')/v^2`

`f'(x) =(0*(e^(3x)+1) - (1) (3 e^(3x)) )/(e^(3x)+1)^2`

`= - ( 3 e^(3x) )/(e^(3x)+1)^2`