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

Prove that the function f(x)=log_(e)(x^(2)+1)-e^(-x)+1 is strictly increasing AA x in R.

Prove that the function defined by f(x)=e^(x) is strictly increasing in R

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

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

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

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

Prove that the function f given by f (x) = log(sin x) is strictly increasing on (0,pi/2) strictly decreasing on (pi/2 , pi)

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

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