# How do you differentiate # 1/2 (ln x) #?

We have our derivative.

Remember that the basic definition of a derivative is:

We have:

Let's leave the limit out for now.

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The derivative of 1/2 (ln x) is 1/(2x).

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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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