# What is the derivative of this function #tan^-1(5x)#?

Substitute these values into (A) and convert u back into x.

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The derivative of the function ( \tan^{-1}(5x) ) is ( \frac{5}{1+(5x)^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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