# What is the derivative of #sqrttan x #?

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Rewrite the function first:

In line with the chain rule,

so,

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The derivative of (\sqrt{\tan(x)}) is (\frac{1}{2\sqrt{\tan(x)}}(1+\tan(x))\sec^2(x)).

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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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