ScorerHiPrime

ScorerHiPrime[z]

gives the derivative of the Scorer function .

Details

  • Mathematical function, suitable for both symbolic and numeric manipulation.
  • For certain special arguments, ScorerHiPrime automatically evaluates to exact values.
  • ScorerHiPrime can be evaluated to arbitrary numerical precision.
  • ScorerHiPrime 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 a value of x for which ScorerHiPrime[x]=4:

Visualization  (2)

Plot the ScorerHiPrime function:

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

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

Function Properties  (4)

Real domain of ScorerHiPrime:

Complex domain:

Approximate function range of ScorerHiPrime:

ScorerHiPrime 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 ScorerHiPrime:

Functional identity:

Introduced in 2014
 (10.0)