# cube root

## Calculus cube_root

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### Function : cube_root

#### Summary :

The cube_root function calculates online the cube root of a number.

cube_root online

# Cube root function

The cube root of a real number x, is a number cubed equals x.

## Calculation of the cube root

### Online calculation of the cube root of a number

The function allows the online calculation of the cube root of a number.

For example, to calculate the cube root of the number 27, you must enter cube_root(27), after calculating the result 3 is returned.

For example, to perform the calculation of the cube root online of the number 8, enter cube_root(8), after calculating the value 2 is returned.

### Some integer cube roots

The cube root function to determine the cube root of a number, here are some examples of special cubic roots given by the online calculator.

1. to calculate the cube root of 8, enter cube_root(8), the result is 2.
2. to calculate the cube root of 27, enter cube_root(27), the result is 3.
3. to calculate the cube root of 64, enter cube_root(64), the result is 4.
4. to calculate the cube root of 64, enter cube_root(125), the result is 5.

## Derivative of cube root

The derivative of the cube root is equal to 1/(3*(cube_root(x))^2)=1/(3*(root(3)(x))^2).

## Antiderivative of cube root

The antiderivative of the cube root is equal to 3/4*(x)^(4/3)=3/4*(root(3)(x))^4.

## Limits of cube root

The limits of the cube root exist at -oo (minus infinity) and +oo (plus infinity):
• The cube root function has a limit in -oo which is -oo.
• lim_(x->-oo)root(3)(x)=-oo
• The cube root function has a limit in +oo which is +oo.
• lim_(x->+oo)root(3)(x)=+oo

The cube_root function calculates online the cube root of a number.

#### Syntax :

cube_root(x), x is a number.

#### Examples :

cube_root(27), returns 3

#### Derivative cube root :

To differentiate function cube root online, it is possible to use the derivative calculator which allows the calculation of the derivative of the cube root function

The derivative of cube_root(x) is derivative_calculator(cube_root(x))=1/(3*(cube_root(x))^2)

#### Antiderivative cube root :

Antiderivative calculator allows to calculate an antiderivative of cube root function.

An antiderivative of cube_root(x) is antiderivative_calculator(cube_root(x))=3/4*(x)^(4/3)

#### Limit cube root :

The limit calculator allows the calculation of limits of the cube root function.

The limit of cube_root(x) is limit_calculator(cube_root(x))

#### Graphic cube root :

The graphing calculator is able to plot cube root function in its definition interval.

Calculate online with cube_root (cube root)