# What is the derivative of #1/logx#?

It is

So we find its derivative using the power rule and the chain rule:

Putting this together, we get:

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The derivative of ( \frac{1}{\log(x)} ) with respect to ( x ) is ( -\frac{1}{x \cdot \log(x)^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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