# What is the derivative of #2^x#?

Use the chain rule and the identity:

Start by using properties of exponents:

and:

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The derivative of (2^x) is (2^x \ln(2)).

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The derivative of (2^x) with respect to (x) is (2^x) multiplied by the natural logarithm of the base 2, which is denoted as (\ln(2)). So, the derivative of (2^x) 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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