Evaluate numerically to high precision:

The precision of the output tracks the precision of the input:

Evaluate for complex arguments:

Evaluate AiryAiPrime efficiently at high precision:

Compute worst-case guaranteed intervals using Interval and CenteredInterval objects:

Or compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix AiryBiPrime function using MatrixFunction:

Simple exact values are generated automatically:

Limiting value at infinity:

Find a zero of AiryAiPrime using Solve:

Plot the AiryAiPrime function:

Plot the real part of :

Plot the imaginary part of :

A plot of the absolute value of AiryAiPrime over the complex plane:

AiryAiPrime is defined for all real and complex values:

Function range of AiryAiPrime:

AiryAiPrime is an analytic function of x:

AiryAiPrime is neither non-increasing nor non-decreasing:

AiryAiPrime is not injective:

AiryAiPrime is surjective:

AiryAiPrime is neither non-negative nor non-positive:

AiryAiPrime has no singularities or discontinuities:

AiryAiPrime is neither convex nor concave:

First derivative:

Higher derivatives:

Formula for the derivative:

Integral of AiryAiPrime gives back AiryAi:

Definite integral of AiryAiPrime:

More integrals:

Taylor expansion for AiryAiPrime:

Plot the first three approximations for AiryAiPrime around :

General term in the series expansion of AiryAiPrime:

Find the series expansion at infinity:

The behavior at negative infinity is quite different:

AiryAiPrime can be applied to power series:

Compute the Fourier transform using FourierTransform:

MellinTransform:

HankelTransform:

Functional identity:

Simplify the expression to AiryAiPrime:

FunctionExpand tries to simplify the argument of AiryAiPrime:

Relationship to Bessel functions:

AiryAiPrime can be represented as a DifferentialRoot:

AiryAiPrime can be represented in terms of MeijerG:

TraditionalForm formatting: