Question

ques

Answer 1

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

Answer 2

What do you really mean significance to that notation?

Answer 3

You could say

\(\large\color{black}{ \displaystyle \frac{{\rm d}^n}{{\rm d}x^n} }\)

Answer 4

to use \(f^{n}(x)\) is more convinient

Answer 5

Is there some meaning in writing
\[f^n(x)\]?

Answer 6

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

\(\large\color{black}{ \displaystyle \frac{f^{n}(a) }{n!}(x-a)^n}\)

Answer 7

it is just nth derivative of f(x)

Answer 8

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
\[[f(x)]^n\]

Answer 9

yeah, you can do that

Answer 10

I am not very good at notations, but i try not to say something like

\(\large\color{black}{ \displaystyle \forall~\left\{x,y\right\}\in{\bf R}}\)

Answer 11

not all people get them, so I try to stick to regulars.... in any case, we got f^n(x) nailed i guess.