Derivative of Natural log x FAQs
What is meaning of derivative of a function?
Derivative of a function means the change in the functional value with respect to the change in input variable. For physical quantities, derivative gives the rate of change of the quantity with input variables.
What is the derivative of natural log x?
The Derivative of Natural log x i.e. ln x is 1/x.
How to find derivative of natural log x?
The derivative of Natural log x can be found using following methods:
- First Principle of Differentiation
- Power Rule
What is the Application of Derivative of Natural log x?
The derivative of natural log x can be used to find rate of change of physical quantities which need logarithmic functions to represent them.
What is the Derivative of log √x?
The derivative of log √x can be found by using chain rule. It comes out to be 1/2x.
Derivative of ln x (Natural Log)
The derivative of ln x is 1/x. We can also say that the derivative of natural log x is 1/x. The derivative of any function gives the change in the functional value with respect to change in the input variable. Natural log x is an abbreviation for the logarithmic function with the base as Euler’s Number, i.e. e.
In this article, we will discuss the derivative of natural log x, various methods to derive it including the first principal method and implicit differentiation, some solved examples, and practice problems.