Let `f: (e, oo) -> R` be defined by `f(x) =ln(ln(In x))`, then

Let f:(e,oo)rarr R be defined by f(x)=ln(ln(In x)), then

Let f:(-1,oo) rarr R be defined by f(0)=1 and f(x)=1/x log_(e)(1+x), x !=0 . Then the function f:

Let F: (0,2) to R be defined as f (x) = log _(2) (1 + tan ((pix)/(4))). Then lim _( n to oo) (2)/(n) (f ((1)/(n )) + f ((2)/(n)) + …+ f (1) ) is equal to

f : R to (0, oo) defined by f (x) = log _(2) (x). then f ^-1(x)

Let f(0,oo) rarr (-oo,oo) be defined as f(x)=e^(x)+ln x and g=f^(-1) , then find the g'(e) .

Let f be defined by: f(x) = sqrt(x-ln(1+x)) . The domain of f is

If f (x) = ln _(x) (ln x ), then f'(e) =

Determine whether the function f:(o,oo) to R defined by f(x) log_(e)x is one one (or)onto (or)bijection.

Let f : R to R be a function defined by f (x + y) = f (x).f (y) and f (x) ne 0 for andy x. If f '(0) exists, show that f '(x) = f (x). F'(0) AA x in R if f '(0) = log 2 find f (x).