if all the function `f(x)=a^2x^3-a/9x^2-2x-b` arepositive and the minimum is at the point x = 1/3 , then show that when a= -2 , b< -11/27 and when a=3, b< -1/2

The values of a and b for which all the extrema of the function, f(x)=a^(2)x^(3)-0.5ax^(2)-2x-b, is positive and the minima is at the point x_(0)=(1)/(3), are

The values of a and b for which all the extrema of the function, f(x)=a^(2)x^(3)-0.5ax^(2)-2x-b, is positive and the minima is at the point x_(0)=(1)/(3), are

The values of a and b for which all the extrema of the function, f(x)=a^(2)x^(3)-0.5ax^(2)-2x-b, is positive and the minima is at the point x_(0)=(1)/(3), are

For what real values of a' and 'b' all the extrema of the function f(x)=(5a^(2))/(3)x^(3)+2ax^(2)-9x+b are positive and the maximum is at the point x_(0)=-(5)/(9)

The function f(x) =3+12x-9x^2+2x^3 is increasing in

The function f (x) = (2-x)/(9x-x^(3)) is:

Function f(x) = 2 x^3 -3 x^2 -12x +2 has minimum at the point…………

The function f(x)=(x-1)^2+(x-2)^2+(x-3)^2+……+(x-9)^2 has minimum value at x=

The function f(x)=2x^3-3x^2-12x+5 has a minimum at x=...a) -1 b) 2 c) -1/2 d) 3/2