Question

How do you use the chain rule to differentiate `f(x) = e^(4x+9)`?

Answer 1

Let `y = e^u` and `u = 4x + 9`.

`y' = e^u` and `u' = 4`

`f'(x)= e^u xx 4 = e^(4x + 9) xx 4 = 4e^(4x + 9)`

Hopefully this helps!