The arctan function allows the calculation of the arctan of a number.
The arctan function is the inverse functions of the tangent function.
The arctan function is the inverse function of the
it calculates the arc tangent of a number online.
- Calculation of the arctangent
To calculate the arctangent of a number, just enter the number and apply the
For example, to calculate the arctangent of the following number 10, type
arctan(`10`), or directly 10 if the
arctan button already appears, the result 1.4711276743 is returned.
- Derivative of arctangent
The derivative of the arctangent is equal to `1/(1+(x)^2)`.
- Antiderivative of arctangent
The antiderivative of the arctangent is equal to `x*arctan(x)-1/2*ln(1+(x)^2)`.
- Limits of arctangent
The limits of the arctangent exist at `-oo` (minus infinity) and `+oo` (plus infinity):
Table of remarkable values
- The arctangent function has a limit in `-oo` which is `pi/2`.
- The arctangent function has a limit in `+oo` which is `-pi/2`.
Here is the list of exercises that use this function for their solution : .
arctan(x) , x is a number.
Other notation sometimes used : atan
arctan(`0`) returns 0
Derivative arctangent :
To differentiate function arctangent online,
it is possible to use the derivative calculator which allows the calculation of the derivative of the arctangent function
The derivative of arctan(x) is derivative(`"arctan"(x)`)=`1/(1+(x)^2)`
Antiderivative arctangent :
Antiderivative calculator allows to calculate an antiderivative of arctangent function.
An antiderivative of arctan(x) is antiderivative(`"arctan"(x)`)=`x*"arctan"(x)-1/2*ln(1+(x)^2)`
Limit arctangent :
The limit calculator allows the calculation of limits of the arctangent function.
The limit of arctan(x) is limit(`"arctan"(x)`)
Inverse function arctangent :
The inverse function of arctangent is the tangent function noted tan.
Graphic arctangent :
The graphing calculator is able to plot arctangent function in its definition interval.
Property of the function arctangent :
The arctangent function is an odd function
Calculate online with arctan (arctangent)