Let `f(x)=(x^(4))/(12)+((a+1)x^(3))/(6)+2x^(2)+5` is concave upward for all x then 'a' can never lie in the interval

If graph of the function f(x) = 3x^(4)+2x^(3)+ax^(2)-x+2 is concave upward for all real x, then find 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

Let f(x)= (x-2) (x -3) (x-4) (x-5) (x-6) then

Consider a quadratic expression f (x) =tx^(2) -(2t -1) x+ (5x -1) If f (x) can take both positive and negative values then t must lie in the interval

f(x)=3x^(4)-4x^(3)+6x^(2)-12x+12 decreases in

Let f(x)=x^(3)-x^(2)+12x-3 then at x=2f(x) has

Let f(x)=((x-1)^(3)(x+2)^(4)(x-3)^(5)(x+6))/(x^(2)(x-7)^(3)) . Solve the following inequality f(x)lt0