anonymous
  • anonymous
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Mathematics
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  • chestercat
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anonymous
  • anonymous
Is there any significance to the notation \[f^n(x)\] Like nth power of f(x) or nth order derivative of f(x) with respect to x
SolomonZelman
  • SolomonZelman
What do you really mean significance to that notation?
SolomonZelman
  • SolomonZelman
You could say \(\large\color{black}{ \displaystyle \frac{{\rm d}^n}{{\rm d}x^n} }\)

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SolomonZelman
  • SolomonZelman
to use \(f^{n}(x)\) is more convinient
anonymous
  • anonymous
Is there some meaning in writing \[f^n(x)\]?
SolomonZelman
  • SolomonZelman
especially when you do taylor series \(\large\color{black}{ \displaystyle \frac{\left.\frac{{\rm d}^n}{{\rm d}x^n} \right|^{x=a} }{n!}(x-a)^n}\) or would you rather use \(\large\color{black}{ \displaystyle \frac{f^{n}(a) }{n!}(x-a)^n}\)
SolomonZelman
  • SolomonZelman
it is just nth derivative of f(x)
anonymous
  • anonymous
ah, makes more sense, I wanted to use it for nth power of f(x) like trigonometric functions, but I guess I'll just use \[[f(x)]^n\]
SolomonZelman
  • SolomonZelman
yeah, you can do that
SolomonZelman
  • SolomonZelman
I am not very good at notations, but i try not to say something like \(\large\color{black}{ \displaystyle \forall~\left\{x,y\right\}\in{\bf R}}\)
SolomonZelman
  • SolomonZelman
not all people get them, so I try to stick to regulars.... in any case, we got f^n(x) nailed i guess.

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