Derivative of Root x FAQs

What is Derivative of a Function?

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 Square Root x?

Derivative of Square Root of x is 1/2√x.

What are Methods to Find Derivative of Root x?

Methods to find the derivative of Root x are as follows:

• First Principle of Differentiation
• Power Rule

What is Derivative of √sin x?

Derivative of √sin x is cos x/2√sin x by using chain rule of differentiation.

What is Derivative of √log x?

Derivative of √log x is 1/2x√log x by using chain rule of differentiation.

What is the Application of Derivative of Root x?

The application of derivative root x is to find the derivative of other algebraic functions where root x is involved.

Derivative of Root x is (1/2)x^-1/2 or 1/(2√x). In general, the derivative of a function is defined as the change in the dependent variable, i.e. y = f(x) with respect to the independent variable, i.e. x. This process, also known as differentiation in calculus. Root x is an abbreviation used for the square root function which is mathematically represented as √x or x^1/2 (x raised to the power half).

In this article, we will discuss the derivative in math, the derivative of root x, various methods to derive it including the first principle method and the power rule, some solved examples, and practice problems.