If `f(x)=cot^(-1)((x^(x)-x^(-x))/(2))` then f'(1) equals

f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

If f(x)=x^(2)-x^(-2) then f((1)/(x)) is equal to

If f(x)=x^(2)-x^(-2) then f((1)/(x)) is equal to

f(x)=cot^(-1)(x^(2)-4x+5) then range of f(x) is equal to :

If f(x)=(log_(cot x)tan x)(log_(tan x)cot x)^(-1)+tan^(-1)((x)/(sqrt(4-x^(2)))) then f'(0) is equal to

The range of f(x)=cot^(-1)(2x-x^(2)) is

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

If f(x) =cot ^(-1) ((3x -x^(3))/(1-3x^(2))) and g (x) =cos ^(-1) ((1- x ^(2))/(1+x^(2))) then lim _(xtoa) (f(x) -f(a))/(g (x) -g(a)) is equal to-