Practice Problems on Derivatives of Inverse Trigonometric Functions
1. Find the derivative of [Tex]y = \sin^{-1}(x) [/Tex]
2. Calculate the derivative of [Tex]y = \tan^{-1}(2x) [/Tex]
3. Determine the derivative of [Tex]y = \sec^{-1}(3x) [/Tex]
4. Find the derivative of [Tex]y = \cos^{-1}(x^2) [/Tex]
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