Derivatives of functions of several arguments
- To: mathgroup at smc.vnet.net
- Subject: [mg40379] Derivatives of functions of several arguments
- From: cjque at umich.edu (Chris)
- Date: Thu, 3 Apr 2003 01:43:38 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello All, I am wondering if there is a way to take multiple derivatives of a function with several arguments. For example f_0_0_0_... = f(t_1, t_2, t_3,.....) = (t_1)^5 * (t_2)^5 + (t_1)^5 * (t_3)^5 + (t_1)^5 * (t_4)^5 + (t_1)^5 * (t_5)^5 + ... f_1_0_0_...= D[f(t_1, t_2, t_3,.....), t_1])=5(t_1)^4 * (t_2)^5 + 5(t_1)^4 * (t_3)^5 + 5(t_1)^4 * (t_4)^5 + 5(t_1)^4 * (t_5)^5 + ... f_1_1_0_...= D[f_1_0_0_... , t_2])=5(t_1)^4 * 5(t_2)^4 f_1_2_0_...= D[f_1_1_0_... , t_2])=5(t_1)^4 * 20(t_2)^3 f_2_2_0_...= D[f_1_2_0_... , t_1])=20(t_1)^3 * 20(t_2)^3 I would like to be able to find terms like f_2_2_0_4_0_5 , and f_3_0_0_0_1_5 considerinig they exsist. Thanks a lot all, Chris