Question

derive ln(x)

Answer 1

To derive ln(x), we can rewrite it as a logarithm with base e, where e is the natural logarithmic base.

ln(x) = logₑ(x)

Using the logarithmic identity, we can rewrite it as:

ln(x) = log(x) / log(e)

Since log(e) equals 1, we can simplify it further:

ln(x) = log(x) / 1

Therefore, the derivative of ln(x) with respect to x is 1/x.