# How do you differentiate #tan(3x^2) - csc ( ln(4x) )^2#?

Wow, this looks tough. Let's break it down piece by piece.

This means that we will need to apply the chain rule three times.

First we see that,

Now,

and

Putting everything together we have

Woohoo! :)

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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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