EllipticExpPrime[u,{a,b}]
gives the derivative of EllipticExp[u,{a,b}] with respect to u.


EllipticExpPrime
EllipticExpPrime[u,{a,b}]
gives the derivative of EllipticExp[u,{a,b}] with respect to u.
Details

- Mathematical function, suitable for both symbolic and numerical manipulation.
- For certain special arguments, EllipticExpPrime automatically evaluates to exact values.
- EllipticExpPrime can be evaluated to arbitrary numerical precision.
Examples
open all close allBasic Examples (2)
Scope (9)
Numerical Evaluation (4)
Visualization (2)
Plot the EllipticExpPrime function for various parameters:
Plot the real part of EllipticExpPrime[z,{1,2}]:
Plot the imaginary part of EllipticExpPrime[z,{1,2}]:
Integration (1)
Compute the indefinite integral using Integrate:
Properties & Relations (4)
EllipticExpPrime is the derivative of EllipticExp:
EllipticExpPrime is closely related to the WeierstrassP function and its derivative:
Evaluate the elliptic exponential and its derivative:
EllipticExpPrime can be expressed in terms of the components of EllipticExp:
WeierstrassHalfPeriods can be used to compute the two linearly independent periods of EllipticExpPrime:
Compare numerical evaluations of EllipticExpPrime at congruent points in the complex plane:
See Also
Related Guides
History
Introduced in 1991 (2.0)
Text
Wolfram Research (1991), EllipticExpPrime, Wolfram Language function, https://reference.wolfram.com/language/ref/EllipticExpPrime.html.
CMS
Wolfram Language. 1991. "EllipticExpPrime." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EllipticExpPrime.html.
APA
Wolfram Language. (1991). EllipticExpPrime. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EllipticExpPrime.html
BibTeX
@misc{reference.wolfram_2025_ellipticexpprime, author="Wolfram Research", title="{EllipticExpPrime}", year="1991", howpublished="\url{https://reference.wolfram.com/language/ref/EllipticExpPrime.html}", note=[Accessed: 08-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_ellipticexpprime, organization={Wolfram Research}, title={EllipticExpPrime}, year={1991}, url={https://reference.wolfram.com/language/ref/EllipticExpPrime.html}, note=[Accessed: 08-August-2025]}