# How do you differentiate # y =- ln( x^2 - x +4) # using the chain rule?

The chain rule, in the case of a natural logarithm function, shows that

Applying this to the current question, we see that

The derivative can be found through the power rule.

Simplified, this yields

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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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