# What is the derivative of this function #y=1/arcsin(2x)#?

Through implicit differentiation, we have:

So, now we can differentiate the entire expression using the quotient rule.

Hopefully this helps!

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To find the derivative of the function ( y = \frac{1}{\arcsin(2x)} ), we can use the chain rule:

[ \frac{d}{dx}\left(\frac{1}{\arcsin(2x)}\right) = -\frac{1}{(1-(2x)^2)\sqrt{1-(2x)^2}} ]

So, the derivative of the function is:

[ \frac{-1}{(1-(2x)^2)\sqrt{1-(2x)^2}} ]

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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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