## Derivative of ln (x)

### To find the derivative of ln(x), we can use the rules of logarithmic differentiation

To find the derivative of ln(x), we can use the rules of logarithmic differentiation.

Step 1: Start with the function f(x) = ln(x).

Step 2: Take the natural logarithm of both sides:

ln(f(x)) = ln(ln(x)).

Step 3: Differentiate both sides implicitly with respect to x:

(1/f(x)) * f'(x) = (1/x)

Step 4: Solve for f'(x):

f'(x) = x / f(x).

Step 5: Replace f(x) with ln(x):

f'(x) = x / ln(x).

Therefore, the derivative of ln(x) is x / ln(x).

## More Answers:

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The Antiderivative of 1/x: How to Find It Using Logarithmic Functions

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