# How do you differentiate #f(x)=(x^2-2x)^2# using the chain rule?

You can do it like this:

Treat the expression inside the brackets as a single function. Differentiate that, then multiply by the derivative of what you have inside the brackets:

So:

This simplifies to:

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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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