# What is the derivative of #tan(5x)^(1/2)#?

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The derivative of ( \tan(5x)^{\frac{1}{2}} ) is ( \frac{5\sec^2(5x)}{2\sqrt{\tan(5x)}} ).

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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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