# Can someone explain the chain rule?

Please see below.

How do we deal with such function of a function of another function?

In order to differentiate such complicated functions, we need to use Chain Rule, according to

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See below.

First, I assume you mean the chain rule.

Applied when we want to find the derivative of a function of a function of the variable.

Then the chain rule states that:

Using the nomenclature above:

Hence, applying the chain rule:

I hope this helps.

[After a little practice you'll find you will be able to apply this rule in much more complicated cases without needing to go back to the definition.]

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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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