cube root

Cube root : How to use it?

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.

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.

to calculate the cube root of 8, enter cube_root(8), the result is 2.

to calculate the cube root of 27, enter cube_root(27), the result is 3.

to calculate the cube root of 64, enter cube_root(64), the result is 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

limits of the cube root

$-oo$

$+oo$

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 $+oo$ .

$lim_(x->+oo)root(3)(x)=+oo$