# What is the derivative of # arcsin(x-1)#?

We got:

Let's use the chain rule, which states that,

Combining,

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derivative of inverse trigonometric functions

the general formula to differentiate the arcsin functions is

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The derivative of arcsin(x-1) is 1 / √(1 - (x-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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