# How do you find the first and second derivative of # ln(ln x)#?

Let g=ln(x)

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To find the first derivative of ln(ln(x)), use the chain rule:

d/dx [ln(ln(x))] = (1/ln(x)) * (1/x)

To find the second derivative, apply the chain rule again:

d^2/dx^2 [ln(ln(x))] = (1/ln(x)) * (-1/x^2) + (1/ln(x)^2) * (1/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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