Statement 1 : The function `x^2 (e^x+e^-x)` is increasing for all `x> 0` Statement 2: The functions `x^2e^x and x^2e^-x` are increasing for all `x >0` and the sum of two infunctions in any interval (a, b) is an increasing function in (a, b).

Statement-1: The fucntion x^(2)(e^(x)+e^(-x)) is increasing for all x gt 0 . Statement-2 : The function x^(2)e^(x) and x^(2)e^(-x) are increasing for all x gt 0 and the sum of two increasing functions in any interval (a,b) is an increasing function in (a,b)

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

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

Prove that the exponential function e^x is increasing for all x in R.

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

Write the interval in which f(x)=e^(x) is an increasing function.

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

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

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

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