Evaluate numerically:

Evaluate to high precision:

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

Complex number inputs:

Evaluate efficiently at high precision:

WeierstrassPPrime can be used with CenteredInterval objects:

Compute average case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix WeierstrassPPrime function using MatrixFunction:

Value at zero:

Find a value of x for which WeierstrassPPrime[x,1/2,1/2]=10:

WeierstrassPPrime automatically evaluates to simpler functions for certain parameters:

Find a few singular points of WeierstrassPPrime[x,{1/2,1/2}]:

Plot the WeierstrassPPrime function for various parameters:

Plot the real part of :

Plot the imaginary part of :

Real domain of WeierstrassPPrime:

WeierstrassPPrime is an odd function with respect to x:

WeierstrassPPrime threads elementwise over lists in its first argument:

is not an analytic function of :

It has both singularities and discontinuities:

is neither nondecreasing nor nonincreasing:

is not injective:

is surjective:

is neither non-negative nor non-positive:

is neither convex nor concave:

TraditionalForm formatting:

First derivative with respect to :

Higher derivatives with respect to :

Plot the higher derivatives with respect to :

Compute the indefinite integral using Integrate:

Verify the anti-derivative:

Definite integral:

Definite integral of WeierstrassPPrime[z,{g2,g3}] over a period is 0:

More integrals:

Find the Taylor expansion using Series:

Plots of the first three approximations around :

Find series expansion for an arbitrary symbolic direction :

Taylor expansion at a generic point: