Derivative of Logarithmic Function
The derivative of logarithmic function logex is 1/x. The derivative of the logarithmic function with base ‘a’ i.e., logax is 1 / (x ln a). The formula for derivatives of logarithmic function is given below.
- Derivative of ln x, i.e. (d/dx) (loge x) = 1/x
- Derivative of log x, i.e. (d/dx) (logax) = 1 / (x logea)
Logarithmic Function
Logarithmic functions are the function that represents the inverse of the exponential functions. The functions that include logarithms are called the logarithmic function. Concept of logarithm in mathematics is used for changing multiplication and division problems to problems of addition and subtraction.
In this article, we will learn about logarithmic functions, the domain and range of logarithmic functions, properties of logarithmic functions, logarithmic graphs and others in detail.
Table of Content
- What are Logarithmic Functions?
- Domain and Range of Logarithmic Functions
- Logarithmic Graph
- Properties of Logarithmic Functions
- Derivative of Logarithmic Functions
- Integral of Logarithmic Functions