Is this proof, for showing the derivative of ln(x) is 1/x, ok? – math.stackexchange.com

Is this proof, for showing the derivative of ln(x) is 1/x, ok? – math.stackexchange.com

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\begin{align} \frac{\mathrm{d}}{\mathrm{d} x}\ln x &= \lim_{h\to0} \frac{\ln(x + h) - \ln(x)}{h} \\ &= \lim_{h\to0} \frac{\ln(\frac{x + h}{x})}{h} \\ &= \lim_{h\to0} \frac{\ln(1 + ...

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