#
Derivative Proof of a^{x}

This proof is similar to e^{x}. In fact, e can be plugged in for a, and
we would get the same answer because ln(e) = 1.

##
Derivative proof of a^{x}

Rewrite a^{x} as an exponent of e^{ln}

Use Chain Rule and substitute **u** for **xlna**

Cancel out dx over dx, and substitute back in for u

Bring down the a^{x}

Here is a graph of **f(x) = .5 ^{x}** and

**f(x) = 2**and their derivatives.

^{x}

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