Mathematica Question

• To: mathgroup at smc.vnet.net
• Subject: [mg66438] Mathematica Question
• From: "Bharat Bhole" <bbhole at gmail.com>
• Date: Fri, 12 May 2006 02:03:37 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Thanks very much for all those who replied. I really appreciate it.
Unfortunately for the more complicated function that I had, the procedure
did not work. It just returned the expression back to me. Perhaps, this is
because the expression is not negative as I was hoping it to be, or perhaps
because Mathematica could not do it. I don't know which one. Just for
information I am writing down the expression I wanted to check this for.

Suppose U[p,d,rl,rh] = (Log[1+p*d*rh] / Log[1+p*d*rl]) where, 0.2<p<1,
2<d<20, rl > rh > 0. I wanted to find whether the second partial derivative
of this with respect to d is negative. Also, if cross partial with respect
to (d,p) is negative at least for large enough 'p'. For small, p, it can be
seen the ross partial can be positive or negative, which explains why
Mathematica just returns the expression.

Thanks once again to all who replied. These techniques will definitely be
useful to me for other work.

Bharat.

```

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