I'm familiar with the formula:\begin{equation}(\ln(f(x))'=\frac{f'(x)}{f(x)}\end{equation} and what it's used for, but how is the formula derived? I can't seem to find anything about the log-derivative that actually provides a proof of it.
2026-05-06 00:44:13.1778028253
But where does logarithmic differentiation come from?
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Use the chain rule for the derivative of a composite function.
Can you now see how to prove the formula?