condition that `f(x) =x^3+ax^2+bx^2+c` is anincreasing function for all real values of 'x' is

The condition that =x^(3)+ax^(2)+bx+c is an increasing function for all real values of 'x' is

If f(x)= x^(3) + ax^(2) + bx + c is an increasing function for all real values of x then-

If y = x^3 - ax^2 + 48x + 7 is an increasing function for all real values of x, then a lies in

Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an increasing function for all real values of x.

If f(x) =sin x-a sin 2x-(1)/(3) sin 3x+2ax is an increasing function for all real values of x, show that, a gt 1 .

If f(x) =x^(3) +ax^(2)+bx +5 sin^(2) x is an increasing function on R, then

The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

The function f(x)=2ax^(3)+3x^(2)+6(a-1)x+1 is decreasing for all real values of x .Then the greatest integral value of a is