# How do you find the derivative of #sqrt(tan x)#?

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To find the derivative of sqrt(tan x), we can use the chain rule. Let y = sqrt(tan x). Then, y^2 = tan x. Differentiating both sides with respect to x, we get:

2y(dy/dx) = sec^2 x

Now, substitute y = sqrt(tan x) and solve for dy/dx:

dy/dx = sec^2 x / (2 sqrt(tan 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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