Q:
# What is the derivative of inverse tangent?

The derivative of an inverse tangent is denoted by the formula: y = tan^-1 x. Given that the function has a restricted domain of pi, its derivative is: d / dx (tan^-1 x) = 1 / (1 + x^2). This is the basic derivative of an inverse tangent, meaning that the value of x can be substituted for any angle within its domain to get an actual figure.

Continue ReadingThe first step in finding the derivative of an inverse tangent is to graph its function to determine its limits as it approaches infinity. Since the tangent and the inverse tangent functions are inverse functions of one another, they are expressed as: f(x) = tan x and g(x) = tan^-1 x.

By finding the derivative of g(x), the intermediate function incorporates f(x) to result in a singular fraction that has the secant and the inverse tangent as its denominator. The denominator is then simplified to a term that has the tangent as the only unknown, which is further simplified to obtain the finished derivative of the inverse tangent function.

There are five other trigonometric functions: sine, cosine, tangent, cosecant and secant. They all have derivatives that can be determined using the above method.

Learn more about Trigonometry-
Q:
## What is the linear approximation formula?

A: The linear approximation formula is f(x) is approximately equal to f(x0) + f'(x0) x (x - x0), where f'(x) denotes the derivative of f(x). The linear approx... Full Answer >Filed Under: -
Q:
## What is arctan(x) in math?

A: The function arctan(x) describes the inverse tangent of x, wherein the ratio between the length of the sides opposite and adjacent to the angle can be used... Full Answer >Filed Under: -
Q:
## How do you use a unit circle with tangent chart?

A: A unit circle can help solve values for the tangent of angles 30 degrees, 45 degrees and 60 degrees. Tan (θ) = x/y, sin (θ) = y and cos (θ) = x. By substit... Full Answer >Filed Under: -
Q:
## How do you find the cos inverse?

A: The basic trigonometric functions sine, cosine, and tangent give the ratio between two sides of a triangle with a given angle. The inverse trig functions f... Full Answer >Filed Under: