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 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

If the function f(x) = x^3 + 3(a-7)x^2 +3(a^2-9)x-1 has a positive point Maximum , then

If the function f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1 has a positive point of maximum , then

Find the maximum value of the function f(x)=5+9x-18x^(2)

The minimum value of the function f (x) =x^(3) -3x^(2) -9x+5 is :

Consider the function f(x)=0.75x^(4)-x^(3)-9x^(2)+7 What is the maximum value of the function ?