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

The general rule for derivating this type of function is

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The derivative of arctan(2x) is 2 / (1 + (2x)^2).

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TheThe derivativeThe derivative ofThe derivative of arctThe derivative of arctanThe derivative of arctan(The derivative of arctan(2xThe derivative of arctan(2x)The derivative of arctan(2x) isThe derivative of arctan(2x) is:

The derivative of arctan(2x) is:

f'(The derivative of arctan(2x) is:

f'(xThe derivative of arctan(2x) is:

f'(x) =The derivative of arctan(2x) is:

f'(x) = (1The derivative of arctan(2x) is:

f'(x) = (1 / (The derivative of arctan(2x) is:

f'(x) = 2 /The derivative of arctan(2x) is:

f'(x) = (1 / (1The derivative of arctan(2x) is:

f'(x) = 2 / (The derivative of arctan(2x) is:

f'(x) = (1 / (1 + (The derivative of arctan(2x) is:

f'(x) = 2 / (1The derivative of arctan(2x) is:

f'(x) = (1 / (1 + (2The derivative of arctan(2x) is:

f'(x) = 2 / (1 + (The derivative of arctan(2x) is:

f'(x) = (1 / (1 + (2xThe derivative of arctan(2x) is:

f'(x) = 2 / (1 + (2The derivative of arctan(2x) is:

f'(x) = (1 / (1 + (2x)^2The derivative of arctan(2x) is:

f'(x) = 2 / (1 + (2xThe derivative of arctan(2x) is:

f'(x) = (1 / (1 + (2x)^2))The derivative of arctan(2x) is:

f'(x) = 2 / (1 + (2x)^2)The derivative of arctan(2x) is:

f'(x) = (1 / (1 + (2x)^2)) *The derivative of arctan(2x) is:

f'(x) = 2 / (1 + (2x)^2)The derivative of arctan(2x) is:

f'(x) = (1 / (1 + (2x)^2)) * (2)

Which simplifies to:

f'(x) = 2 / (1 + 4x^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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