# What is the derivative of #ln(1/x)#?

The derivative is

Here are two ways to find the derivative:

Method 1 relies on knowing about exponents and logarithms.

We get:

Method 2 uses the chain rule.

We get

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The derivative of ln(1/x) with respect to x is 1/x.

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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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