# How do you find the first and second derivative of #y = 2ln(x)#?

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To find the first derivative of y = 2ln(x), you use the chain rule: dy/dx = 2(1/x) = 2/x. To find the second derivative, you differentiate the first derivative with respect to x: d^2y/dx^2 = -2/x^2.

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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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