# ScorerGiPrime

gives the derivative of the Scorer function .

# Details # Examples

open allclose all

## 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(30)

### Numerical Evaluation(5)

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:

ScorerGiPrime can be used with Interval and CenteredInterval objects:

### Specific Values(3)

Simple exact values are generated automatically:

Limiting values at infinity:

Find positive minimum of :

### Visualization(2)

Plot the ScorerGiPrime function:

Plot the real part of :

Plot the imaginary part of :

### Function Properties(11)

Real domain of ScorerGiPrime:

Complex domain:

Function range of ScorerGiPrime:

ScorerGiPrime is an analytic function of x:

ScorerGiPrime is neither non-decreasing nor non-increasing:

ScorerGiPrime is not injective:

ScorerGiPrime is surjective:

ScorerGiPrime is neither non-negative nor non-positive:

ScorerGiPrime does not have singularity or discontinuity:

ScorerGiPrime is neither convex nor concave:

### Differentiation and Integration(4)

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:

Indefinite integral of ScorerGiPrime:

### 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(3)

FunctionExpand tries to simplify the argument of ScorerGiPrime:

Functional identity:

ScorerGiPrime can be represented as a DifferentialRoot: