Re: Jacobian

• To: mathgroup at smc.vnet.net
• Subject: [mg117555] Re: Jacobian
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Tue, 22 Mar 2011 05:09:57 -0500 (EST)

```On 3/21/11 at 6:13 AM, duarte_nuno86 at hotmail.com (Duarte) wrote:

>I just recently started using mathematica. I have version 6.0. I
>have a project in which I need toi calculate the jacobian matrix of
>a function G:R4 - R4.

>My question is wether there is a command that computes the jacobian
>or do I need to compute each partiall derivate individually? What
>command gives the partial derivatives?

Use D to compute partial derivatives. For example

In[1]:= D[y x^2, x]

Out[1]= 2 x y

And since D has the attribute Listable, you can use it to
compute the partial derivatives of each element of a matrix all
at once. For example:

In[3]:= mat = Partition[y x^# & /@ Range[4], 2]

Out[3]= {{x*y, x^2*y}, {x^3*y, x^4*y}}

In[4]:= D[mat, x]

Out[4]= {{y, 2*x*y}, {3*x^2*y, 4*x^3*y}}

```

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