Math Doubts

Derivative rule of the Natural Logarithmic function


$\dfrac{d}{dx}{\log_{e}{x}} \,=\, \dfrac{1}{x}$


If $x$ is a variable, then natural logarithm is denoted by either $\ln{(x)}$ or $\log_{e}{(x)}$. The derivative of natural logarithm with respect to $x$ is equal to the quotient of one by $x$.


Learn how to derive differentiation of natural logarithm with respect to $x$ in differential calculus by the limit definition of derivative.

Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Math Worksheets

The math worksheets with answers for your practice with examples.

Practice now

Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.

Learn more

Math Doubts

A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved