What is Derivative of Root x?
Derivative of Root x is 1/2√x. Root x is an algebraic function. Thus, change in the root x function with respect to change in x is given as 1/2√x. The formula for the derivative of Root x can be written as follows:
Derivative of Root x Formula
Formula for the derivative of root x is given by the formula,
(d/dx) [√x] = 1/2√x
(√x)’ = 1/2√x
It can be derived using,
- First Principle of Differentiation
- Power Rule
Both of them are discussed as follows
Learn,
Derivative of Root x
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 x1/2 (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.
Contact Us