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Summary :
The log function calculates the logarithm of a number online.
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Description :
The logarithm function is defined for any number belonging to the interval ]0,`+oo`[, it notes log.
Logarithmic Differentiation Calculator With Steps
The logarithm calculator allows calculation of this type of logarithm online.
- Calculation of the logarithm
- Derivative of logarithm
- Antiderivative of logarithm
- Limits of logarithm
- The logarithm function has a limit in `0` which is `-oo`.
- The logarithm function has a limit in `+oo` which is `+oo`.
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.
The derivative of the logarithm is equal to `1/(x*ln(10))`.
The antiderivative of the logarithm is equal to `(x*ln(x)-x)/ln(10)`.
- The limits of the logarithm exist at `0` and `+oo`:
- `lim_(x->0)log(x)=-oo`
- `lim_(x->+oo)log(x)=+oo`
The log function calculates the logarithm of a number online.
Syntax :
log(x), x is a number.Examples :
log(1), returns 0Derivative 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)`
Logarithmic Differentiation Calculator Steps
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.
Calculate online with log (logarithm)