# What is the second derivative of # y=x/lnx#?

To find the first derivative we must use the quotient rule:

Substituting into the quotient rule:

The second derivative, also, requires the quotient rule:

Substituting into the quotient rule:

This is the second derivative of the original function:

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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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