This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 BUILT-IN MATHEMATICA SYMBOL

# AiryBiPrime

 AiryBiPrime[z]gives the derivative of the Airy function .
• Mathematical function, suitable for both symbolic and numerical manipulation.
• For certain special arguments, AiryBiPrime automatically evaluates to exact values.
• AiryBiPrime can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Evaluate numerically:
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 Scope   (6)
Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Simple exact values are generated automatically:
Find series expansions at infinity:
The behavior at negative infinity is quite different:
AiryBiPrime can be applied to power series:
 Applications   (2)
Solve differential equations in terms of AiryBiPrime:
Solution of the modified linearized for any function :
Verify the solution:
Use FullSimplify to simplify Airy functions, here in the of the Airy equation:
Compare with the output of Wronskian:
FunctionExpand tries to simplify the argument of AiryBiPrime:
Generate Airy functions from differential equations:
Integrals:
Integral transforms:
Obtain AiryBiPrime from sums:
AiryBiPrime appears in special cases of several mathematical functions:
Machine-precision input is insufficient to give a correct answer: