The value of a for which `x^3 + 3(a-7)x^2 + 3(a^2-9)x - 2`has a +ve point of maxima

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

The values of x for which 2x^3-3x^2-36x+10 has extreme values are

Let f(x) =x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive point of maxima then find possible values of 'a'

The least positive integral value of lambda for which f(x)=(3)/(2)x^(3)+(lambda)/(3)x^(2)+x+7 has a points of extrema is

The least positive integral value of lambda for which f(x)=(3x^(3))/(2)+(lambda x^(2))/(3)+x+7 has a point of maxima

For which value of a, A function, f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1 attains its maximum value point.

All the possible values of the paramter 'a' so that the function , f(x) =x^3-3(7-a)x^2-3(9-a^2)x+2, has a negative point of local minimum