# What's the derivative of #arctan(x)+arctan(1/x)#?

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The derivative of arctan(x) is 1/(1 + x^2), and the derivative of arctan(1/x) is -1/(1 + 1/x^2). When you add these derivatives together, you get the derivative of arctan(x) + arctan(1/x).

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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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