For the function `f(x)=(e^x)/(1+e^x),` which of the following hold good? `f` is monotonic in its entire domain. Maximum of `f` is not attained even though `f` is bounded `f` has a point of inflection. `f` has one asymptote.

For the function f(x)=e^(e^(x))-tan^(-1)x-3=0 which of the following holds good?

Function f(x)=e^(x)+e^(-x) has

The function f(x)= (x^(2))/(e^(x)) monotonically increasing if

The function f(x)=x^(2)e^(x) has maximum value

The function f(x)=x^(2)e^(x) has minimum value

Consider the function f:(-oo,oo)vec(-oo,oo) defined by f(x)=(x^2+a)/(x^2+a),a >0, which of the following is not true? maximum value of f is not attained even though f is bounded. f(x) is increasing on (0,oo) and has minimum at ,=0 f(x) is decreasing on (-oo,0) and has minimum at x=0. f(x) is increasing on (-oo,oo) and has neither a local maximum nor a local minimum at x=0.

Domain of the function f(x)=sin^(-1)((1+e^(x))^(-1))

Find the domain of the function f(x) = e^(x + sin x)