If `f(x) = x^(3) + (a – 1) x^(2) + 2x + 1` is strictly monotonically increasing for every `x in R` then find the range of values of ‘a’

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

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

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.

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)=k x^3-9x^2+9x+3 monotonically increasing in R , then

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 (A) (1,2) (B) (1,oo) (C) (-oo,-3) (D) (-10,-7)

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