define symbolic constant

When i do this, i get $\left(\frac{3 \, m x^{2}}{{\left(x^{2} + y^{2} + z^{2}\right)}^{\frac{5}{2}}} - \frac{m}{{\left(x^{2} + y^{2} + z^{2}\right)}^{\frac{3}{2}}},\,\frac{3 \, m x y}{{\left(x^{2} + y^{2} + z^{2}\right)}^{\frac{5}{2}}},\,\frac{3 \, m x z}{{\left(x^{2} + y^{2} + z^{2}\right)}^{\frac{5}{2}}}\right)$ I did the computation by hand and it seems to be the correct result. If you replace `m` by `pi`, you will get the same answer. Which expression did you expect ?

tmonteil ( 2013-11-21 06:03:38 +0200 )edit

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answered 2013-11-20 04:48:59 +0200

tmonteil
27323 ●31 ●202 ●514 http://wiki.sagemath.o...

I may not understand your question. As long as you declare the variable whith respect to which you differentiate, there should not be any problem, for example:

sage: f(x,y) = x*y
sage: f
(x, y) |--> x*y
sage: f.differentiate(x)
(x, y) |--> y

Here, you differentiate whith respect to x, so y is considered as a constant. Also:

sage: f(x) = pi*x
sage: f
x |--> pi*x
sage: f.differentiate(x)
x |--> pi

But Sage also protect you from differentiating whith respect to a constant:

sage: f.differentiate(pi)
TypeError: argument symb must be a symbol

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