Question

What is the derivative of `y=e^((2x)/3)`?

Answer 1

`y' = 2/3 e^((2x)/3)`

Explanation:

`d/dx(e^u) = e^u (du)/dx` `" "" "` (Chain rule)

In this case `u = (2x)/3` so `(du)/dx = 2/3`

`d/dx(e^((2x)/3)) = e^((2x)/3) * 2/3 = 2/3 e^((2x)/3)`