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.

Find the asymptotes of the function f(x)=(1)/(x)

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.

consider the function f(x) = 1(1+(1)/(x))^(x) The domain of f(x) is

Draw the graph of f(x) = e^(x)/(1+e^(x)) . Also find the point of inflection.

For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the following statement/statements hold good? f(x) is non-monotonic. f(x) increases in (-oo,-2)uu(-1,oo) and decreases in (-2,-1) f: RvecR is bijective. Inflection point occurs at x=-3/2dot

If the function f(x)=ax e^(-bx) has a local maximum at the point (2,10), then

Show that the function given by f(x) = (logx)/(x) has maximum at x = e.

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))

The function f(x) is defined in [0,1] . Find the domain of f(tanx).

Draw the graph of f(X)=log_(e)(1-log_(e)x) . Find the point of inflection