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Is it possible?

• To: mathgroup at smc.vnet.net
• Subject: [mg72906] Is it possible?
• From: Travelmate <travelmate at where.com>
• Date: Thu, 25 Jan 2007 05:59:16 -0500 (EST)

Hi,

I'd really appreciate your help...

I'been asked to perform a kind of analysis I've never done before..and 
I'm not even sure that it's possible.

Suppose you have value function V=v[x(a,b,c,d),y(....),z(......)]

The key-parameter is 'a' and it turns out that the first and second 
(partial) derivatives of V with respect to 'a' are negative and positive 
respectively. (V is continous)

Now there's a problem: I've been asked to invert V(a) (keeping b,c and d 
constant)and to study the derivatives of this inverse function with 
respect to b, c and d. I'm not sure it's possible to do such a thing. 
ANd even if it is possible, I do not know how to start.

Could you be so kind to tell me:
1) if it is actually possible to perform this study;
2) if the answer is yes, could you suggest me a starting point or any 
reference?

Thank you in advance