Practice Questions on Derivative of Sin x
Q1. Find the derivative of arcsin(5x).
Q2. Find the derivative of x3 arcsin(x).
Q3. Evaluate: d/dx [ arcsin(x) / x2 + 1 ]
Q4. Evaluate the derivative of arcsin(x) – tan(x)
Derivative of Arcsin
Derivative of Arcsin x is d/dx(arcsin x) = 1/√1-x². It is denoted by d/dx(arcsin x) or d/dx(sin-1x). Derivative of Arcsin refers to the process of finding the rate of change in Arcsin x function with respect to the independent variable. Derivative of Arcsin x is also known as differentiation of Arcsin.
In this article, we will learn about the derivative of Arcsin and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule method.
Table of Content
- What is Derivative in Math?
- What is Derivative of Arcsin x?
- Proof of Derivative of Arcsin x
- Solved Examples on Derivative of Arcsin x