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Derivative of a Conjugate

• To: mathgroup at smc.vnet.net
• Subject: [mg87208] Derivative of a Conjugate
• From: David Forehand <D.Forehand at mech.gla.ac.uk>
• Date: Fri, 4 Apr 2008 02:57:31 -0500 (EST)

Hi All,

My first posting here, so please forgive me if I am being a bit stupid.

I'm entering the following input:

D[f[t0, t1], t0, t1] /. {f -> ((#1^2)*Conjugate[a[#2]] &)}

and Mathematica gives the following output:

2 t0 a'[t1] Conjugate'[a[t1]]

I would have expected:

2 t0 Conjugate[a'[t1]]

i.e. the derivative of a conjugate is the conjugate of the derivative.

Any idea how a force Mathematica to give the result I am expecting?  In the above, I am assuming the variables "t0" and "t1" are real and the variable "a" is complex, although I have not explicitly told Mathematica this.

Thanks Very Much in advance,

David

• Follow-Ups:
  • Re: Derivative of a Conjugate
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>