# What is the derivative of #y = ln(cscx)#?

Alternatively, using logarithm laws, we can say:

It follows by the chain rule that

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Hopefully this helps!

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The derivative of ( y = \ln(\csc x) ) is:

[ \frac{d}{dx} \ln(\csc x) = -\cot x \csc x ]

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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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