# How do you find the derivative of #2^x#?

Taking log on both sides,

Applying derivative,

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In general, the derivative of an exponential with some constant base is

A proof of this will be shown.

Proof:

Now,

We then have

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To find the derivative of (2^x), you use the chain rule. The derivative is (2^x \ln(2)).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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