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In this Appendix I present the analytical expressions
for the derivatives of the VTI group slowness function
expressed in equation 6 in the main text.
These derivatives are necessary for the numerical computation
of the RMO functions.
The VTI slowness function can be approximated as
Fowler (2003):
 

 (57) 
where
 
(58) 
is the elliptical component.
The derivatives are then written as:
 
(59) 
 (60) 
 (61) 
where the derivatives of the elliptical component with
respect to and are:
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Stanford Exploration Project
5/3/2005