# What is derivative of ln(x)?

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The derivative of ln(x) is 1/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.

- If a function is continuous along the interval [1,3], would it be differentiable at x=1 and x=3?
- How do you find f'(4) using the limit definition given #f(x) = x+3#?
- Using the limit definition, how do you find the derivative of #1/(x^2-1)#?
- How do you find the average rate of change for the function #f(x)=x^2+3 # on the indicated intervals [3,4]?
- How do you find the equation of the line tangent to the graph of # f(x)=1/2x + 4#, (2,5)?

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