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The arctan function allows the calculation of the arctangent of a number. The arctangent function is the inverse functions of the tangent function.arctan(`0`) returns 0 Quizzes and games : function    Summary :The arctan function allows the calculation of the arctangent of a number. The arctangent function is the inverse functions of the tangent function.

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arctan trực tuyến

description :Arctangent functionThe arctan function is the inverse function of the tangent function, it calculates the arc tangent of a number online.

## Calculation of the arctangent

khổng lồ calculate the arctangent of a number, just enter the number and apply the arctan function.

For example, to lớn 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 khổng lồ `1/(1+(x)^2)`.

## Antiderivative of arctangent

The antiderivative of the arctangent is equal khổng lồ `x*arctan(x)-1/2*ln(1+(x)^2)`.

## Limits of arctangent

The limits of the arctangent exist at `-oo` (minus infinity) & `+oo` (plus infinity): The arctangent function has a limit in `-oo` which is `pi/2`. `lim_(x->-oo)arctan(x)=pi/2` The arctangent function has a limit in `+oo` which is `-pi/2`. `lim_(x->+oo)arctan(x)=-pi/2`

## Table of remarkable values

 arctan(`-1`) `3*pi/4` arctan(`-sqrt(3)/3`) `5*pi/6` arctan(`-sqrt(3)`) `2*pi/3` arctan(`0`) `0` arctan(`sqrt(3)`) `pi/3` arctan(`1`) `pi/4` arctan(`sqrt(3)/3`) `pi/6`
Syntax :

arctan(x) , x is a number.

Other notation sometimes used : atan

Examples :

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 khổng lồ 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.

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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 khổng lồ plot arctangent function in its definition interval.

Property of the function arctangent : The arctangent function is an odd function. Calculate online with arctan (arctangent)