cube root
Cube root : 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
- 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
- Antiderivative of cube root
- Limits of cube root
- The cube root function has a limit in `-oo` which is `-oo`.
- The cube root function has a limit in `+oo` which is `+oo`.
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.
The derivative of the cube root is equal to `1/(3*("cube_root"(x))^2)`=`1/(3*(root(3)(x))^2)`.
The antiderivative of the cube root is equal to `3/4*(x)^(4/3)=3/4*(root(3)(x))^4`.
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The limits of the cube root exist at `-oo` (minus infinity) and `+oo` (plus infinity):
- `lim_(x->-oo)root(3)(x)=-oo`
- `lim_(x->+oo)root(3)(x)=+oo`
- Simplifying surds calculator : simplify_surd. Online surds 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.