Derivative of Root x Practice Questions
Some practice questions on derivative of root x are,
Q1. Find the derivative of the function f(x) = √(3sinx)
Q2. Find the derivative of the function f(x) = √x + 1/√x.
Q3. Find the value of f'(x), if f(x) = x√tanx.
Q4. If y = x√logx, then find the value of dy/dx.
Q5. If y = x/√sinx, find the value of dy/dx.
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.