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

Description :

Cube root function

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

  1. Calculation of the cube root
  2. 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.

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

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

  7. 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(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(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(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)
See also :
  • Square roots calculator : calculator_sqrt. Online calculator that allows you to make calculations in exact form with square roots: sum, product, difference, ratio.
  • Cube root : cube_root. The cube_root function calculates online the cube root of a number.
  • Square root : sqrt. The sqrt function allows to calculate the square root of a number in exact form.