Eric's Calculus Lecture: Proof of the derivative of lnx d/dx[lnx]=1/x

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d/dx lnx = 1/x Proof (ILIEKMATHPHYSICS)

Proof of the derivative of lnx: A Step-by-Step Proof and Explanation

Proof: the derivative of ln(x) is 1/x | Advanced derivatives | AP Calculus AB | Khan Academy

Proof: d/dx(ln x) = 1/x | Taking derivatives | Differential Calculus | Khan Academy

Proof - The Derivative of f(x)=ln(x): d/dx[ln(x)]=1/x (Implicit Diff)

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

Why is the derivative of lnx equal to 1/x?

Proof: Derivative of ln(x) = 1/x by First Principles