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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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` |
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)