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

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

Prove that the function given by f(x)=2x^(3)-6x^(2)+7x 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)

Prove that the function f(x) = 10^(x) is strictly increasing on R

Prove that the function f(x)=2x^(3)-21x^(2)+36x-40 is strictly increasing in the interval (-oo, 1) .

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

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

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

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