Let `f(x)=|log|x||,` then-

Let f(x) = x log x +1 then the set {x : f(x) gt0 } is equal to

Let f(x) = log x, Evaluate f' (e) .

Let f(x)=log_(e)|x-1|, x ne 1 , then the value of f'((1)/(2)) is

Let f(x)=log_(e)|x-1|, x ne 1 , then the value of f'((1)/(2)) is

Let f(x)=cos(log x). Then the value of the integral int_(-2010)^(2010)(f(x)*f(f(x))-(1)/(2){f((x)/(f(x))+f(xf(x))}dx

Let f(x)=(log x)/(x), and solution of f(x)=k be denoted by g(k). {where k<0}g:(-oo,0)rarr(0,1), then y=g(x) will be

Let f(x)=(tanx)/(x), then log_(e)(lim_(xrarr0)([f(x)]+x^(2))^((1)/({f(x)}))) is equal, (where [.] denotes greatest integer function and {.} fractional part)

Let f(x)=log_(2)(|sin x|+|cos x|). the range of f(x) is :