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

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

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

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 y=x^3-ax^2+12x+5 is increasing for all values of x, then a lies between

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.

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

" If "sin^(-1)(sin4)+x^(2)>" ax for all real values of "x" then "a" lies in "

If y=x^3-ax^2+12x+5 is increasing for all values of x, then a lies between K_1 and K_2 then |K_2-K_1|

Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a strictly increasing function for all real values of x, without using the derivative.