Question

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

Answer 1

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

Explanation:

Using the Quotient rule we get
`f'(x)=(e^x(e^(-x)-x)-e^x(-e^(-x)-1))/(e^(-x)-x)^2` Expanding and collect equal Terms we get the result above.