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as for "-- find f (x) so that f (f (x)) = exp (x) --"

,

find a halfDerivate[exp(x)] = exp^( '/2) [x] -- as for a^x = a^(x/2)·a^(x/2) the exp ' (x) = exp^( '/2) [x] "unknown operator" exp^( '/2) [x]

(the target here is a "fraction space" in between "function space" and it's "differential space" so that the value 0.5 (a half) might be any fraction)

the speciffic

,

find a halfDerivate[exp(x)] = exp^( '/2) [x] -- as for a^x = a^(x/2)·a^(x/2) the exp ' (x) = exp^( '/2) [x] "unknown operator" exp^( '/2) [x]

it's something like find half limit for Lim_(x→0) Sin(x) = halfLim_(x→0) Sin(x) "unknown operator" halfLim_(x→0) Sin(x)it's something like find half limit for Lim_(x→0) Sin(x) = halfLim_(x→0) Sin(x) "unknown operator" halfLim_(x→0) Sin(x)

(the target here is a "fraction space" in between "function space" and it's "differential space" so that the value 0.5 (a half) might be any fraction)

the speciffic

**target here**is "fraction space" for fraction**0.5**and the function**exp(x)**