# ScorerHiPrime

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 :

Plot the imaginary part of :

### Function Properties(4)

Real domain of ScorerHiPrime:

Complex domain:

Approximate function range of ScorerHiPrime:

### 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  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: