Set of all possible values of a such that `f(x)=e^(2x)-(a+1)e^(x)+2x` is monotonically increasing for all `x in R` is `(-oo,a]` ,then `(a^(3))/(54)` is

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

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.

The function f(x)= (x^(2))/(e^(x)) monotonically increasing if

f(x)=|x-1|+2|x-3|-|x+2| is monotonically increasing at x=?

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

If a le 0 f(x) =e^(ax)+e^(-ax) and S={x:f(x) is monotonically increasing then S equals

The function f(x)=x^(2)e^(-x) is monotonic increasing when (a) x in R-[0,2](b)^(@)0

If f(x)=((a^(2)-1)/(3))x^(3)+(a-1)x^(2)+2x+1 is monotonically increasing for every x in R then a can lie in