Prove that the function `f(x)=(log)_e(x^2+1)-e^(-x)+1` is strictly increasing `AAx in Rdot`

The function f(x) = 7 + x - e^(x) is strictly increasing in the interval

Show that the function given by f(x)=e^(2x) is strictly increasing on R.

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

Let I be any interval disjoint from (1, 1) . Prove that the function f given by f(x)=x+1/x is strictly increasing on 1.

Prove that the function f(x)=(log)_e x is increasing on (0,oo)dot

Prove that the function f(x)=(log)_e x is increasing on (0,\ oo) .

The function f(x) = x^(2) e^(-x) strictly increases on

Without using the derivative show that the function f(x)=7x-3 is strictly increasing function on Rdot

Prove that the function f(x)=cosx is strictly increasing in (pi,\ 2pi)

The function f(x)=(log(pi+x))/(log(e+x)) s is