# Math Help - Derivatives

1. ## Derivatives

When would you use

$\frac{d}{dx}(a^{u(x)}) = (lna)(a^{u(x)})(\frac{du}{dx})$

and

$\frac{d}{dx}(a^{u(x)}) = a^{u}(\frac{du}{dx})$?

a = constant

Aren't they equivalent to one another? Would I get the same result using either one?

2. use the first one for $a \neq e$ (although it will still work for a = e)

use the second one for $a = e$