Derivative of Sin inverse x

What is Derivative of a Function Imply?

Derivative of a function implies the change in the functional value with respect to the change in input variable. For physical quantities, derivative gives the rate of change of the quantity with input variables.

What is Derivative of Sin Inverse x?

Derivative of sin inverse x is 1/√(1-x²).

What are Different Methods to Find Derivative of Sin Inverse x?

Methods to find derivative of sin inverse x are as follows:

• First Principle of Differentiation
• Implicit Differentiation

What is the Application of Derivative of Sin Inverse x?

Derivative of sin inverse x is helpful in determining rate of change of inverse trigonometric functions with respect to the change in input variable.

What is the Derivative of Sin^-1(x²)?

Derivative of sin^-1(x²) is 2x/√(1-x⁴)

Derivative of sin inverse x is 1/√(1-x²). The derivative of any function gives the rate of change of the functional value with respect to the input variable. Sin inverse x is one of the inverse trigonometric functions. It is also represented as sin^-1x. There are inverse trigonometric functions corresponding to each trigonometric function. The derivative of a function also helps in finding the slope of the tangent to the curve represented by the function at any point.

In this article, we will learn about the derivative of sin inverse x, methods to find it including the first principle of differentiation and implicit differentiation, solved examples, and practice problems.