Question

How do you find the derivative of `(2x)/(3+e^x)`?

Answer 1

`(6+2e^x - 2xe^x)/(3+e^x)^2`

Explanation:

We can use quotient rule:

`d/dx(f/g) = (gf' - fg')/g^2`

If `f(x) = 2x` and `g(x) = 3 + e^x`, the derivative is

`(2(3+e^x) - 2x(e^x))/(3+e^x)^2 = (6+2e^x - 2xe^x)/(3+e^x)^2`