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Table of Contents

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## Definitions

### General

The cube root of a number x, is a number r so that r^{3}= x. In modern notation cube root is written as or x^{1/3}. Any real number has one real cube root, while any non-zero real number has two complex cube roots too. The real cube root of a positive number is always positive while the real cube root of a negative number is negative. The cube root of 0 is 0.

The graph of the real cube root function is shown in the figure below. It is a monotonic function with symmetry around origin.

### Properties

The derivative of the cube root function is:

The integral of the cube root function is given by: