ScorerGiPrime

ScorerGiPrime[z]

gives the derivative of the Scorer function .

Details

  • Mathematical function, suitable for both symbolic and numeric manipulation.
  • For certain special arguments, ScorerGiPrime automatically evaluates to exact values.
  • ScorerGiPrime can be evaluated to arbitrary numerical precision.
  • ScorerGiPrime automatically threads over lists.

Examples

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Basic Examples  (4)

Evaluate numerically:

Plot over a subset of the reals:

Plot over a subset of the complexes:

Series expansion at the origin:

Scope  (20)

Numerical Evaluation  (4)

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:

Specific Values  (3)

Simple exact values are generated automatically:

Limiting values at infinity:

Find positive minimum of ScorerGiPrime[x ]:

Visualization  (2)

Plot the ScorerGiPrime function:

Plot the real part of TemplateBox[{z}, ScorerGiPrime]:

Plot the imaginary part of TemplateBox[{z}, ScorerGiPrime]:

Function Properties  (4)

Real domain of ScorerGiPrime:

Complex domain:

Function range of ScorerGiPrime:

ScorerGiPrime threads elementwise over lists:

TraditionalForm typesetting:

Differentiation  (3)

First derivative with respect to z:

Higher derivatives with respect to z:

Plot the higher derivatives with respect to z:

Formula for the ^(th) derivative with respect to z:

Series Expansions  (2)

Find the Taylor expansion using Series:

Plots of the first three approximations around :

Taylor expansion at a generic point:

Function Identities and Simplifications  (2)

FunctionExpand tries to simplify the argument of ScorerGiPrime:

Functional identity:

Wolfram Research (2014), ScorerGiPrime, Wolfram Language function, https://reference.wolfram.com/language/ref/ScorerGiPrime.html.

Text

Wolfram Research (2014), ScorerGiPrime, Wolfram Language function, https://reference.wolfram.com/language/ref/ScorerGiPrime.html.

BibTeX

@misc{reference.wolfram_2020_scorergiprime, author="Wolfram Research", title="{ScorerGiPrime}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/ScorerGiPrime.html}", note=[Accessed: 16-January-2021 ]}

BibLaTeX

@online{reference.wolfram_2020_scorergiprime, organization={Wolfram Research}, title={ScorerGiPrime}, year={2014}, url={https://reference.wolfram.com/language/ref/ScorerGiPrime.html}, note=[Accessed: 16-January-2021 ]}

CMS

Wolfram Language. 2014. "ScorerGiPrime." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ScorerGiPrime.html.

APA

Wolfram Language. (2014). ScorerGiPrime. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ScorerGiPrime.html