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Function Programming Problems
*To*: mathgroup at smc.vnet.net
*Subject*: [mg90782] Function Programming Problems
*From*: davey79 at gmail.com
*Date*: Thu, 24 Jul 2008 04:51:59 -0400 (EDT)
Hello,
A colleague and myself are working on some Mathematica labs for
Calculus using Mathematica 6.0 and I can't seem to find any
information or examples that explain defining functions and using
functions as arguments.
I want to define a LinearApproximation command that preferably would
take two arguments and return the linear approximation. Ideally,
LinearApproximation[function_,a_] would have
LinearApproximation[Sin[x],0] give "x" as the output.
So far I have:
LinearApproximation[function_, a_, x_] := function[a] +
function'[a]*(x - a)
which works mostly nicely, except it only works with
LinearApproximation[Sin,0,x].
Does anyone know how I would fix this to allow Sin[x] as input (or
even x^2, etc)? Getting rid of the third argument "x" would be nice,
but not necessary.
Thanks!
David Taylor
Roanoke College
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