What is Derivative of Arcsin x?
Among the inverse trig derivatives, the derivative of the Arcsin x is one of the derivatives. Derivative of arcsin function represents the rate at which the arcsin curve is changing at a given point. It is denoted by d/dx(arcsin x) or d/dx(sin-1x). Arcsinx is also known as inverse sin x.
Derivative of the Arcsin x is 1/√1-x²
Derivative of Arcsin x Formula
The formula for the derivative of Arcsin x is given by:
(d/dx) [Arcsin x] = 1/√1-x²
OR
(Arcsin x)’ = 1/√1-x²
Also Check, Inverse Trigonometric Function
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
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