# What is the derivative of # arctan sqrt(x^2 -1)#?

Chain rule

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The derivative of arctan(sqrt(x^2 - 1)) is (x) / (sqrt(x^2 - 1) * (x^2 - 1)).

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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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