The abs function calculates online the absolute value of a number.
Absolute value function
The absolute value of a real number is equal to that number if it is positive, the opposite of this number if it is negative.
The absolute value note abs.
With this notation :
- If `x>=0` abs(x)=`abs(x)`=x
- If `x<0` abs(x)=`abs(x)`=-x
Antiderivative of absolute value
- Calculation of the absolute value
With the absolute value calculator, the function abs can calculate the
absolute value online of a number.
To calculate the absolute value of a number, just enter the number and to apply the
function abs. Thus, for calculating the
absolute value of the number -5, you must enter
directly -5, if the button abs already appears, the result 5 is returned.
- Derivative of absolute value
The derivative of the absolute value is equal to :
The antiderivative of the absolute value is equal to abs(x).
Limits of absolute value
- `intabs(x)=x^2/2` if `x>=0`,
- `intabs(x)=-x^2/2` if x<0
The limits of the absolute value exist at `-oo` and `+oo`:
Equation with absolute value
- The absolute value function has a limit in `-oo` which is `+oo` .
- The absolute value function has a limit in `+oo` which is `+oo`.
The calculator has a solver that allows him to solve a
equation with absolute value .
The calculations for obtaining the results are detailed, so it will be possible to solve equations like
with the steps calculations.
Properties of the absolute value function
The absolute value function is an even function, for every real x, `abs(-x)=abs(x)`.
The consequence for the curve representative of the absolute value function is that it admits the axis of the ordinates as axis of symmetry.
abs(x), where x is a number
abs(`-5`) returns 5
Derivative absolute value :
To differentiate function absolute value online,
it is possible to use the derivative calculator which allows the calculation of the derivative of the absolute value function
The derivative of abs(x) is derivative(`abs(x)`)=`1`
Antiderivative absolute value :
Antiderivative calculator allows to calculate an antiderivative of absolute value function.
An antiderivative of abs(x) is antiderivative(`abs(x)`)=`(x)^2/2`
Limit absolute value :
The limit calculator allows the calculation of limits of the absolute value function.
The limit of abs(x) is limit(`abs(x)`)
Graphic absolute value :
The graphing calculator is able to plot absolute value function in its definition interval.
Property of the function absolute value :
The absolute value function is an even function
Calculate online with abs (absolute value)