# What is the derivative of inverse tangent of 2x?

Solution Let

Differentiating both side with respect to 'x'

So,

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dy/(dx)=2/(1+4x^2)#

Solution

Let

Differentiating both side with respect to 'x'

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The derivative of the inverse tangent of 2x is 2/(1+(2x)^2).

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The derivative of (\arctan(2x)) with respect to (x) is (\frac{2}{1 + (2x)^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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