# How do you differentiate #f(x)=lnsqrt(-e^(4x)-2)# using the chain rule.?

Concentrating on the bracket, let's define two other functions:

Concentrating on the bracket, we define two more functions:

Overall, we have:

Well, that's not right, right? We just have a bunch of nonsense variables. But remember that:

We can input our stuff in:

And simplify:

The answer.

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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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- How do you find the derivative of #1/(x^2) - 1/x#?

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