# What is the derivative of #arctan (x/2)#?

In general,

So, this problem will also require application of the Chain Rule:

We'll want to get rid of that fraction in the denominator. It doesn't look very good.

Finally,

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The derivative of arctan(x/2) is 2 / (4 + x^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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