# Often asked: How To Get Derivative Of Square Root?

## What is the derivative of a square root?

Derivative Rules

Common Functions Function Derivative
Line x 1
ax a
Square x2 2x
Square Root √x (½)x½

## What is the formula of derivative?

Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. It is called the derivative of f with respect to x.

## What is the derivative of 2x?

To find the derivative of 2x, we can use a well-known formula to make it a very simple process. The formula for the derivative of cx, where c is a constant, is given in the following image. Since the derivative of cx is c, it follows that the derivative of 2x is 2.

## What is the chain rule equation?

The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*. Using the chain rule and the derivatives of sin(x) and x², we can then find the derivative of sin(x²).

## What is dy dx?

d/ dx is an operation that means “take the derivative with respect to x” whereas dy / dx indicates that “the derivative of y was taken with respect to x”.

## What is the derivative sin 2x?

Using the chain rule to find the derivative of sin(2x)

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sin2x ► Derivative of sin2x = 2cos(2x)
sin 2 x ► Derivative of sin 2 x = 2cos(2x)
sin 2x ► Derivative of sin 2x = 2cos(2x)
sin (2x) ► Derivative of sin (2x) = 2cos(2x)

## What is the derivative of 5?

The derivative of f(x) =5 is 0. 