       Re: Applying Math 6

• To: mathgroup at smc.vnet.net
• Subject: [mg82355] Re: Applying Math 6
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Thu, 18 Oct 2007 04:55:08 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <ff4etv\$dcu\$1@smc.vnet.net>

```Johan Mars wrote:

> I need to fit x-y data to the equation below and also need to determine
> the derivative.
>
> y=exp[-(a*ln(x))/bc]^d + exp[-(a*ln(x)/be]^f
>
> This equation is used in adsorption studies and is normally referred to
> as the Dubinin-Izotova equation.

defines a function and the second expression takes the first derivative.

In:= y[x_] := Exp[-(a*Log[x])/bc]^d + Exp[-(a*Log[x])/be]^f

In:= y'[x]

Out=
-1 - a/bc   -(a/bc) -1 + d         -1 - a/be   -(a/be) -1 + f
a d x          (x       )          a f x          (x       )
-(-------------------------------) - -------------------------------
bc                                 be

Regards,
--
Jean-Marc

```

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