# How do you find the derivative of #y=arcsin(2x+1)#?

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To find the derivative of ( y = \arcsin(2x + 1) ), you can use the chain rule. The derivative is:

[ \frac{dy}{dx} = \frac{1}{\sqrt{1 - (2x + 1)^2}} \cdot 2 ]

Simplified:

[ \frac{dy}{dx} = \frac{2}{\sqrt{1 - (2x + 1)^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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