Logarithmic Differentiation Calculator

• Logarithmic Differentiation Calculator Mathway
• Differentiation Calculator

Summary :

The rules of differentiation (product rule, quotient rule, chain rule, ) have been implemented in JavaScript code. There is also a table of derivative functions for the trigonometric functions and the square root, logarithm and exponential function. In each calculation step, one differentiation operation is carried out or rewritten. Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.

The log function calculates the logarithm of a number online.

Description :

The logarithm function is defined for any number belonging to the interval ]0,`+oo`[, it notes log.

The logarithm calculator allows calculation of this type of logarithm online.

Calculation of the logarithm

For the calculation of logarithm of a number, just enter the number and apply the function log. Thus, for calculatinglogarithm of the number 1, you must enter log(`1`) or directly 1, if the button log already appears, the result 0 is returned.

Derivative of logarithm

The derivative of the logarithm is equal to `1/(x*ln(10))`.

Antiderivative of logarithm

The antiderivative of the logarithm is equal to `(x*ln(x)-x)/ln(10)`.

Limits of logarithm

The limits of the logarithm exist at `0` and `+oo`:
• The logarithm function has a limit in `0` which is `-oo`.
`lim_(x->0)log(x)=-oo`
• The logarithm function has a limit in `+oo` which is `+oo`.
`lim_(x->+oo)log(x)=+oo`

Syntax :

Examples :

Derivative logarithm :

Derivative logarithm :

To differentiate function logarithm online, it is possible to use the derivative calculator which allows the calculation of the derivative of the logarithm function

The derivative of log(x) is derivative_calculator(`log(x)`)=`1/(ln(10)*x)`

Antiderivative logarithm :

Antiderivative calculator allows to calculate an antiderivative of logarithm function.

An antiderivative of log(x) is antiderivative_calculator(`log(x)`)=`(x*log(x)-x)/ln(10)`

Limit logarithm :

The limit calculator allows the calculation of limits of the logarithm function.

The limit of log(x) is limit_calculator(`log(x)`)

Graphic logarithm :

The graphing calculator is able to plot logarithm function in its definition interval.

The following variables and constants are reserved:

• e = Euler's number, the base of the exponential function (2.718281...)
  
• i = imaginary number (i² = -1)
  
• pi, π = the ratio of a circle's circumference to its diameter (3.14159...)
• phi, Φ = the golden ratio (1,6180...)

You can enter expressions the same way you see them in your math textbook. Implicit multiplication (5x = 5*x) is supported. If you are entering the derivative from a mobile phone, you can also use ** instead of ^ for exponents. The interface is specifically optimized for mobile phones and small screens.

Supported differentiation rules

Logarithmic Differentiation Calculator Mathway

• Sum rule
• Elementary power rule
• Constant factor rule
• Product rule (Leibniz rule)
• Quotient rule
• Chain rule
• Inverse function rule
• Logarithmic derivatives
• Exponential functions
• Trigonometric functions

Differentiation Calculator

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