The value of a for which all extremum of function `f(x)=x^(3)+3ax^(2)+3(a^(2)-1)x+1`, lie in the interval (2, 4) is

The value of a for which all extremum of function f(x)=x^(3)-3ax^(2)+3(a^(2)-1)x+1 lie in the interval (2,4) 1) (3,4) 2) (-1,3) 3) (-3,-1) 4) none of these

The set of values of p for which the points of extremum of the function,f(x)=x^(3)-3px^(2)+3(p^(2)-1)x+1lin in the interval (-2,4) is

The set of values of p for which the points of extremum of the function, f(x) = x^3 -3px^2 + 3 (p^2 -1)x + 1 lin in the interval (-2,4) is

The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interval

Find the value of a for which the function f(x)=ax^(3)-3(a+2)x^(2)+9(a+2)x-1 is decreasing.

At what values of a do all the zeroes of the function f(x)=(a-2)x^(2)+2ax+a+3 lies on the interval (-2,1)

The number of points of extremum of the function f(x)=(x-2)^(2/3)(2x+1) is

The greatest value of the function f(x)=2. 3^(3x)-3^(2x). 4+2. 3^x in the interval [-1,1] is

The greatest value of the function f(x)=2.3^(3x)-3^(2x).4+2.3^(x) in the interval [-1,1] is