You can also use the .diff() method, like
In [52]: tan(x).diff(x)
Out[52]:
2
1 + tan (x)
In [53]: (x + sin(x)).diff(x)
Out[53]: 1 + cos(x)
Aaron Meurer
On Mar 21, 2011, at 8:49 AM, Alexey U. Gudchenko wrote:
> 21.03.2011 16:28, Kit пишет:
>> How do I perform a symbolic differentiation in sympy? I did a search in the
>> online documentation but I only found Numerical
>> Derivatives<http://docs.sympy.org/dev/modules/mpmath/calculus/differentiation.html?highlight=derivative>,
>> which requires explicit values for the variables. I would like
>> differentiation that outputs symbolic variables. Here's a very simple
>> example:
>>
>> <https://lh4.googleusercontent.com/_SWc09U3SrBE/TYdSS1NlMyI/AAAAAAAAACI/qvifCKiP_xY/derivative.png>
>>
>
> Hi,
>
> As I understand, symbolic differentiation present in sympy for expressions,
> See:
>
> http://docs.sympy.org/dev/tutorial.html#differentiation
>
>>>> from sympy import *
>>>> x = Symbol('x')
>>>> diff(sin(x), x)
> cos(x)
>>>> diff(sin(2*x), x)
> 2*cos(2*x)
>
>>>> diff(tan(x), x)
> 1 + tan(x)**2
>
> Though for functions there are some open issues:
>
> http://code.google.com/p/sympy/issues/detail?id=1620
> http://code.google.com/p/sympy/issues/detail?id=1660
>
> and so on.
>
> And pulls, in which someone processing about it
>
> https://github.com/sympy/sympy/pull/134
>
>
> But at the same time these issues seems to be related with function
> architecture.
>
> http://code.google.com/p/sympy/issues/detail?id=1688
>
>
> --
> Alexey U.
>
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