Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate efficiently at high precision:

CubeRoot threads elementwise over lists and matrices:

Compute average case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix CubeRoot function using MatrixFunction:

Values of CubeRoot at fixed points:

Values at zero:

Values at infinity:

Find a value of for which the using Solve:

Substitute in the result:

Visualize the result:

Plot the CubeRoot function:

Visualize the absolute value and argument (sign) of :

The function has the same absolute value but a different argument for :

Polar plot with :

CubeRoot is defined on the real numbers:

The range of CubeRoot is all real numbers:

Enter a ∛ character as \[CubeRoot], followed by a number:

is not an analytic function:

Neither is it meromorphic:

is non-decreasing:

is injective:

And surjective:

is neither non-negative nor non-positive:

is continuous on the reals but has a singularity at :

It is singular because it is not differentiable:

is neither convex nor concave:

First derivative with respect to x:

Higher derivatives with respect to x:

Plot the higher derivatives with respect to x:

Formula for the derivative with respect to x:

Compute the indefinite integral using Integrate:

Verify the anti-derivative:

Definite integral:

Definite integral of CubeRoot over a symmetric interval is 0:

More integrals:

Find the Taylor expansion using Series:

Plots of the first three approximations around :

General term in the series expansion using SeriesCoefficient:

The first-order Fourier series:

Taylor expansion at a generic point:

Primary definition:

Products can be combined using FullSimplify:

CubeRoot commutes with integer exponentiation: