# How do you differentiate #y=sqrt(x-1)+sqrt(x+1)#?

We will have to apply the chain rule twice to this problem.

Step 3: Combine the two derivatives using the sum rule

Hopefully this helps!

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To differentiate ( y = \sqrt{x-1} + \sqrt{x+1} ), you can use the chain rule. The derivative of this function is ( \frac{1}{2\sqrt{x-1}} + \frac{1}{2\sqrt{x+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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