# What is the derivative of #f(x)=-ln(1/x)+lnx#?

We could jump right in and apply the Chain Rule, but it is worthwhile to apply the very convenient properties of logarithms. It will avoid a lot of messy work and eliminate room for trivial errors.

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The derivative of f(x) = -ln(1/x) + ln(x) is f'(x) = 1/x - 1.

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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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