Calculus Examples

$y = a^{f (x)}$

Step 1

Differentiate using the Power Rule which states that $\frac{d}{d a} [a^{n}]$ is $n a^{n - 1}$ where $n = f (x)$ .

$f (x) a^{f (x) - 1}$

Step 2

Reorder the factors of $f (x) a^{f (x) - 1}$ .

$a^{f (x) - 1} f (x)$