# What is the derivative of #arctan(1/x)#?

The derivative is:

So

And

Faster Method?

and

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The derivative of ( \arctan\left(\frac{1}{x}\right) ) is ( \frac{-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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