Find the possible values of `a` such that `f(x)=e^(2x)-(a+1)e^x+2x` is monotonically increasing for `x in Rdot`

Find possible values of 'a' such that f(x) =e^(2x) -2(a^(2) -21) e^(x)+ 8x+5 is monotonically increasing for x in R.

Let set of all possible values of lamda such that f (x)= e ^(2x) - (lamda+1) e ^(x) +2x is monotonically increasing for AA x in R is (-oo, k]. Find the value of k.

Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monotonically increasing for all values of xdot

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

Show that f(x)=e^(2x) is increasing on Rdot

Let f(x) ={underset(ax, " "x lt0)(x^(2) , x ge0) . Find real values of 'a' such that f(x) is strictly monotonically increasing at x=0

Let f(x) = tan^-1 (g(x)) , where g (x) is monotonically increasing for 0 < x < pi/2.

Show that f(x)=e^(2x) is increasing on R .

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 AAx in Rdot