Show that `f(x) =(x)/(sqrt(1+x)) =en (1+x)` is an increasing function for `x gt-1`

Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x throughout its domain.

Show that f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) is increasing on R .

Show that f(x)=(x-1)e^x+1 is an increasing function for all x >0 .

Show that f(x)=(x-1)e^x+1 is an increasing function for all x > 0.

Show that the function f(x) = (x - 1) e^(x)+2 is strictly increasing function forall x gt 0 .

Show that f(x) = 2x + cot^-1 x + log(sqrt(1+x^2)-x) is increasing in R

Show that f(x) = 2x + cot^-1 x + log(sqrt(1+x^2)-x) is increasing in R

Show that the function f(x)= x^(3) - 3x^(2)+3x - 1 is an increasing function on R.

Show that the function f(x) = 1/(1+x^(2)) is increasing function in the interval (- infty, 0] .

Show that f(x)=tan^(-1)x-x is decreasing function on Rdot