print(Function('g')(Function('f')(x1,x2)).diff(x1))
Derivative(f(x1, x2), x1)*Derivative(g(f(x1, x2)), f(x1, x2))
print(Function('g')(Function('f')(x1,x2),Function('h')(x1,x2)).diff(x1))
Derivative(f(x1, x2), x1)*Subs(Derivative(g(_xi_1, h(x1, x2)), _xi_1), _xi_1, f(x1, x2)) + Derivative(h(x1, x2), x1)*Subs(Derivative(g(f(x1, x2), _xi_2), _xi_2), _xi_2, h(x1, x2))
In [9]: e=Function('g')(Function('f')(x1,x2),Function('h')(x1,x2)).diff(x1)
In [10]: e
Out[10]:
⎛ ∂ ⎞│ ⎛ ∂ ⎞│ ⎛ ∂ ⎞│ ⎛ ∂
⎜───(f(ξ₁, x[2]))⎟│ ⋅⎜───(g(ξ₁, h(x[1], x[2])))⎟│ + ⎜───(g(f(x[1], x[2]), ξ₂))⎟│ ⋅⎜───(h(ξ₁
⎝∂ξ₁ ⎠│ξ₁=x[1] ⎝∂ξ₁ ⎠│ξ₁=f(x[1], x[2]) ⎝∂ξ₂ ⎠│ξ₂=h(x[1], x[2]) ⎝∂ξ₁
⎞│
, x[2]))⎟│
⎠│ξ₁=x[1]
In [11]: e.doit()
Fatal Python error: Cannot recover from stack overflow.
Thread 0x000070000994b000 (most recent call first):
File "/Users/enojb/.local/lib/python3.5/threading.py", line 293 in wait
File "/Users/enojb/.local/lib/python3.5/threading.py", line 549 in wait
File "/Users/enojb/current/sympy/35venv/lib/python3.5/site-packages/IPython/core/history.py", line 829 in run
File "/Users/enojb/current/sympy/35venv/lib/python3.5/site-packages/IPython/core/history.py", line 58 in needs_sqlite
File "</Users/enojb/current/sympy/35venv/lib/python3.5/site-packages/decorator.py:decorator-gen-24>", line 2 in run
File "/Users/enojb/.local/lib/python3.5/threading.py", line 914 in _bootstrap_inner
File "/Users/enojb/.local/lib/python3.5/threading.py", line 882 in _bootstrap
Current thread 0x00007fffae5cf380 (most recent call first):
File "/Users/enojb/current/sympy/sympy/sympy/core/symbol.py", line 284 in assumptions0
File "/Users/enojb/current/sympy/sympy/sympy/core/symbol.py", line 274 in _hashable_content
File "/Users/enojb/current/sympy/sympy/sympy/core/symbol.py", line 381 in _hashable_content
File "/Users/enojb/current/sympy/sympy/sympy/core/expr.py", line 133 in __eq__
File "/Users/enojb/current/sympy/sympy/sympy/core/basic.py", line 343 in __eq__
File "/Users/enojb/current/sympy/sympy/sympy/core/containers.py", line 97 in __eq__
File "/Users/enojb/current/sympy/sympy/sympy/core/expr.py", line 134 in __eq__
File "/Users/enojb/current/sympy/sympy/sympy/core/cache.py", line 94 in wrapper
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2291 in <listcomp>
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2291 in _hashable_content
File "/Users/enojb/current/sympy/sympy/sympy/core/expr.py", line 109 in __hash__
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2286 in __hash__
File "/Users/enojb/current/sympy/sympy/sympy/core/cache.py", line 94 in wrapper
File "/Users/enojb/current/sympy/sympy/sympy/core/expr.py", line 196 in __mul__
File "/Users/enojb/current/sympy/sympy/sympy/core/decorators.py", line 129 in binary_op_wrapper
File "/Users/enojb/current/sympy/sympy/sympy/core/decorators.py", line 91 in __sympifyit_wrapper
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 618 in _eval_derivative
File "/Users/enojb/current/sympy/sympy/sympy/core/basic.py", line 1724 in _visit_eval_derivative_scalar
File "/Users/enojb/current/sympy/sympy/sympy/core/basic.py", line 1719 in _accept_eval_derivative
File "/Users/enojb/current/sympy/sympy/sympy/core/basic.py", line 1743 in _eval_derivative_n_times
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1427 in __new__
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1598 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2242 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1600 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2242 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1600 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2242 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1600 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2242 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1600 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2242 in doit
...
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 2242 in doit
File "/Users/enojb/current/sympy/sympy/sympy/core/function.py", line 1600 in doit
...
Abort trap: 6
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