# How do you find the second derivative of #y=lnx#?

We have

So, the fist derivative is a really important calculus result

And thesecond derivative we get from the power rule:

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To find the second derivative of ( y = \ln(x) ), you first find the first derivative, which is ( \frac{dy}{dx} = \frac{1}{x} ). Then, you differentiate this expression with respect to ( x ) again to find the second derivative. So, the second derivative of ( y = \ln(x) ) is ( \frac{d^2y}{dx^2} = -\frac{1}{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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