Symbolic differentiation using Elixir macros
SymMath.dif macro differentiates an expression with respect to :x atom,
which singifies the independent variable.
There is SymMath.simplify macro which tries to perform some simplifications.
Finally, SymMath.d_s macro applies simplification after differentiation.
Only some standard functions and basic differention rules are coded. See the test script for some working examples.
Running mix dif calls d_s on the input.
> mix dif
Enter an expression: pow(sin(:x), 2)
Differentiated: 2 * sin(:x) * cos(:x)
> mix dif
Enter an expression: pow(:x, 2) + 5 * :x
Differentiated: 2 * :x + 5