# What is the derivative of arctan X?

## What is the derivative of arctan X?

The derivative of arctan x is 1/(1+x2). i.e., d/dx(arctan x) = 1/(1+x2). This also can be written as d/dx(tan-1x) = 1/(1+x2).

Table of Contents

## What is the derivative of arctan LNX )?

The derivative of the arctangent is equal to 11+(x)2.

**What is arctan in calculus?**

The arctan is the inverse of the tangent function and is used to compute the angle measure from the tangent ratio of a right triangle, designated by the formula: tan = opposite / adjacent.

### Is arctan X differentiable?

Arctan is a differentiable function because its derivative exists on every point of its domain.

### Is inverse tangent the same as arctangent?

The inverse is used to obtain the measure of an angle using the ratios from basic right triangle trigonometry. The inverse of tangent is denoted as Arctangent or on a calculator it will appear as atan or tan-1.

**How do you solve arctan?**

Arctan Formula As discussed above, the basic formula for the arctan is given by, arctan (Perpendicular/Base) = θ, where θ is the angle between the hypotenuse and the base of a right-angled triangle. We use this formula for arctan to find the value of angle θ in terms of degrees or radians.

## What is the derivative of tan 2x?

2 sec2

The derivative of tan 2x is 2 sec2 (2x).

## What is the derivative of sec2x?

2 sec2x tanx

The derivative of sec^2x is equal to 2 sec2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx. Sec x is one of the important and main trigonometric functions in trigonometry. We know that the derivative of secx is equal to secx tanx.

**What is Arctangent equal to?**

Arctan function is the inverse of the tangent function. It is usually denoted as arctan x or tan-1x. The basic formula to determine the value of arctan is θ = tan-1(Perpendicular / Base).

### Is inverse tangent the same as Arctangent?

### How do you differentiate YX tan2x?

Answer: The derivative of y = tan2x is dy/dx = 2 sec2x tan x.

**What is the derivative of sin2x?**

2 cos 2x

The derivative of sin 2x is 2 cos 2x.

## What is the derivative of cos2x?

Solution: Derivative of cos 2x is -2 sin 2x.

## Is Arctangent the same as cotangent?

The cotangent function is the reciprocal of the tangent function. The arctangent function is the inverse of the tangent function.