Derivative of Logarithmic Functions

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

Take the derivative of the natural log function

How to Find the Derivative of f(x) = ln(x^3 + 1) using the Chain Rule

証明：ln(x) の導関数は 1/x です | 上級微分 | AP 微積分 AB | カーンアカデミー

2ln y = -(1/2)ln x + (1/3)(x^2 + 1) + ln C

Derivative of (1/3)ln(x-1) - (1/6)ln(x^2+x+1) - (sqrt(3)/3)*arctan((2x+1)/sqrt(3))

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

Find the derivative of y=-ln(x+3) at x=5

Derivative Practice #71: derivative of ln(x^3(sqrt((x-1)/(x+1)))

Calculus - Finding the derivative with ln(x)

The Derivative of ln x

Derivatives of Exponential Functions & Logarithmic Differentiation Calculus lnx, e^2x, x^x, x^sinx

Why is the derivative of lnx = 1/x?

Derivative of ln(1+x^2) || Differentiation of ln(x^2+1)

微分の定義を用いたln(x)の微分

The Derivative of the Natural Logarithm: The Basics

Toughest Question| ∫ln(x) dx =?from 1 to 3#shorts#maths#mathematics#physics#science

Derivative of (ln x)^3

Derivative of ln(x) by basic principle method l calculus