I'm trying to define functions using other functions, like so:
f[a_, b_] := a/b; a[c_] := c; b[d_] := d;
Now what I want to be able to do is two things:
- Solving f[a_,b_] for c so that the output is c=f*d
- Deriving f[a_,b_] directly for c so that the output is similar to this: D[f[a_,b_],c_]=1/d
As you can tell, my knowledge on defining functions properly is pretty shaky, I'm sure there is a very simple solution to this that I'm just not nearly experienced for to think of it.
Thanks -A Mathematica beginner