Let `f(x)=x-1/2 log (x^(2)+1)`. Then f' (x) is :

Let f(x) = log (1-x) +sqrt(x^(2)-1). Then dom (f )=?

Let f(x)=log(x+sqrt(x^(2)+1)), then f'(x) equals.

If f(x) = log (x – 2) – 1/x , then

Let f : R to and f (x) = (x (x^(4) + 1) (x+1) +x ^(4)+2)/(x^(2) +x+1), then f (x) is :

Let f(x)=tan^(-1)x-(ln|x|)/(2),x!=0. Then f (x) is increasing in

If f(x)=tan^(-1)x-(1)/(2)log x. Then

Let g(a,b)=log_(a)b. If f(x)=g(x^(2),ln x) then f'(x) at x=e is

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

Let f(x)={(log(1+x)^(1+x)-x)/(x^(2))}. Then find the value of f(0) so that the function f is continuous at x=0.

Let f:R rarr R, f(x)=x+log_(e)(1+x^(2)) . Then