confusing solution set of exp-equation



hello group,

I have done some elementary calculus:

(%i1) f(x):=exp(x)-1/4*x*exp(x);
(%i2) solve(f(x)=0,x);
(%o2) [x=4,%e^x=0]
(%i3) diff(f(x),x) ;  /* f prime */
...

I have 2 questions.

Q1:   
The output %o2 is 'not optimal': e^x=0 has no solution and could confuse beginners.
Is it possible to avoid this part of the solution list?
(ok, one can discuss this result with the class and think about it, but ..)

Q2:
AFAIK it is not possible to abbrevitae  diff(f(x),x)  with  f'(x).
I use fp(x) to name 'f prime' etc.
Is there any symbol left (backquote?) to name f'(x) and causing no problems later?
What is your recommended work around?

HTH  Wolfgang 
Leichlingen, Germany