The cube root of a number x, is a number r so that r3= x. In modern notation cube root is written as or x1/3. 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.
The derivative of the cube root function is:
The integral of the cube root function is given by: