# What is the derivative of #y=arctan(3x)#?

Recall:

By Chain Rule,

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The derivative of ( y = \arctan(3x) ) is ( \frac{d}{dx}(\arctan(3x)) = \frac{3}{1 + (3x)^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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