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)=((a^(2)-1)/(3))x^(3)+(a-1)x^(2)+2x 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) = 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’

f(x)=x+(1)/(x),x!=0 is monotonic increasing when

Let f(x)=tan^(-1)(g(x)), where g(x) is monotonically increasing for 0

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 f(x) =x - tan^(-1)x. Prove that f(x) 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.

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