if f(x) `=2e^(x) -ae^(-x) +(2a +1) x-3` monotonically increases for `AA x in R` then the minimum value of 'a' is

If f(x)=2e^(x)-ae^(-x)+(2a+1)x-3 monotonically increases for AA x in R, then find range of values of a

f(x)=(x-2)|x-3| is monotonically increasing in

f(x) = (x - 2) |x - 3| is monotonically increasing in

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

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

If f(x)=2e^(x)-c ln x monotonically increases for every x in(0,oo), then the true set of values of c is

Let f(x) =e^(2x) -ae^(x)+1. Prove that f(x) cannot be monotonically decreasing for AA x in R for any value of a

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.

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.