RE: derivation of a picewise defined function
- To: mathgroup at smc.vnet.net
- Subject: [mg46112] RE: [mg46098] derivation of a picewise defined function
- From: "Florian Jaccard" <florian.jaccard at eiaj.ch>
- Date: Sat, 7 Feb 2004 04:01:55 -0500 (EST)
- Reply-to: <florian.jaccard at eiaj.ch>
- Sender: owner-wri-mathgroup at wolfram.com
Use UnitStep : h[x_] := UnitStep[x - 1]*x + UnitStep[-(x - 1)]E^(x - 1) h[x] can be derivated, integrated, ploted, etc. It's a good way to define picewise functions. Meilleures salutations Florian Jaccard -----Message d'origine----- De : M.L. Bondar [mailto:mbondar at win.tue.nl] Envoyé : ven., 6. février 2004 10:15 À : mathgroup at smc.vnet.net Objet : [mg46098] derivation of a picewise defined function Hi, I have the following problem. I need to work with the first derivative of a picewise defined function. A simple example : h[x_] := x /; 1 <= x h[x_] := E^(x - 1) /; x <= 1 I define j[x_] := h'[x] For 1<= x j[x] computes the values, j[x]=1 for all 1<=x, but for x<=1 it returnes me j[x]=h'[x]. I need also the values of j for x<=1. How can I do that with Mathematica? Thank you. Luiza