how do we know the derivative of ln(x) is 1/x (the definition & implicit differentiation)

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how do we know the derivative of ln(x) is 1/x (the definition & implicit differentiation)

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how do we know the derivative of ln(x) is 1/x (the definition & implicit differentiation)

$how do we know the derivative of ln(x) is 1\/x (the definition \& implicit differentiation)$

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how do we know the derivative of ln(x) is 1/x (the definition & implicit differentiation)