Derivatives of Inverse Trigonometric Functions
The derivative of an inverse trigonometric function is the rate of change of the function with respect to its input variable. In other words, it represents how the output of the inverse trigonometric function changes as its input varies.
In modern mathematics, there are six basic trigonometric functions: sine, cosine, tangent, secant, cosecant, and cotangent.
The inverse of these functions are inverse sine, inverse cosine, inverse tangent, inverse secant, inverse cosecant, and inverse cotangent.
Trigonometric functions are many to one function, but we know that the inverse of a function exists if the function is bijective (one-on-one). So, if we restrict the domain of trigonometric functions, then these functions become bijective, and the inverse of trigonometric functions is defined within the restricted domain.
Note: Inverse of f is denoted by ” f -1 “.
Derivatives of Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions: Every mathematical function, from the simplest to the most complex, has an inverse. In mathematics, the inverse usually means the opposite. In addition, the inverse is subtraction. For multiplication, it’s division.
In the same way for trigonometric functions, it’s the inverse trigonometric functions. Trigonometric functions are the functions of an angle. The term function is used to describe the relationship between two sets of numbers or variables.
Table of Content
- Inverse Trigonometric Functions
- Derivatives of Inverse Trigonometric Functions
- Domain and Range of Inverse Trigonometric Functions
- Domain and Range of Inverse Trigonometric Functions
- Derivatives of Inverse Trigonometric Functions using the First Principle
- Practice Problems on Derivatives of Inverse Trigonometric Functions
Contact Us