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How to use "Apply" to do differentiation ?


Something simple yet unbelievable occurred when I use:

Apply[D[#, x] &, x^5]

The output is invariably 1 whether I use x^5 or x^100.
Also I suggest you to try "Trace" command to see
the weirdness -- the output is messy if pasted as
text here.

Finally I have to take a detour and use:
Nest[D[#, x] &, x^5, 1]

I have been using Mathematica for several years and
never found that. I myself is wordless, but can anyone
explain that?


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