Let ` x_(1) and x_(2) ` are the points of maximum and minimum of function `f(x)=2x^(3)-9ax^(2)+12a^(2)x+1` respectively, .If ` x_(1)^(3)=8x_(2) `then the sum of all possible values of 'a' is

Let x_(1) and x_(2) are the points of maximum and minimum of function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 respectively, (a>0).If x_(1)^(3)=8x_(2) then the sum of all possible values of 'a' is

If (x^(2)-7x+9)^(x^(2)-8x+7)=1 then sum of all possible values of x is :

suppose x_(1), and x_(2) are the point of maximum and the point of minimum respectively of the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 respectively,(a>o) then for the equality x_(1)^(2)=x_(2) to be true the value of 'a' must be

Separate the intervals of monotonocity for the function f(x)=-2x^(3)-9x^(2)-12x+1

The maximum and minimum values for the funtion f(x)= 3x^4-4x^3 on [-1,2] are

If maximum & minimum value of function f(x)=x^(3)-6x^(2)+9x+1 AA x in [0, 2] are M & m respectively, then value of M – 2m is :

The sum of the maximum and minimum values of the function f(x)=(1)/(1+(2cos x-4sin x)^(2)) is

Show that the maximum and minimum values of the function ((x+1)^(2))/((x+3)^(3)) are respectively given by (2)/(27) and 0.

Find the domain of the function f(x)=(x^(2)+2x+1)/(x^(2)-8x+12)