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

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To find the derivative of arcsin(2x + 1), you would use the chain rule. The derivative of arcsin(u) with respect to x is du/dx divided by the square root of (1 - u^2), where u = 2x + 1. So, the derivative of arcsin(2x + 1) with respect to x is (d/dx)(2x + 1) divided by the square root of (1 - (2x + 1)^2). Therefore, the derivative is (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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