simple derivative function question



Thanks to all who responded with tips on how to define derivative
functions.

Some more questions:

1. What does maxima actually do with the next definition?

   (A)   f(x):= diff(f(x),x)

   I thought that the right hand side remained unevaluated by using

   (B)   f(x):= 'diff(f(x),x)

   as in writing differential equations.

   So, what would the meaning of statement (A) ?

   Is

    diff(f(x),x)

   simply a string of symbols?

2. What is the meaning of the following words in the manual on "diff"

      The noun form of `diff' is required in some contexts, such as
      stating a differential equation.

    What is a "noun form" in maxima?

TIA,
  -sen


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