# How do you differentiate #y=12lnx#?

The derivative of

Chain rule:

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To differentiate the function y = 12ln(x), you use the chain rule, which states that if you have a function f(g(x)), then its derivative is f'(g(x)) * g'(x). In this case, the outer function is 12ln(x), and the inner function is x. The derivative of ln(x) is 1/x, so applying the chain rule, you get:

dy/dx = 12 * (1/x) = 12/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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