The exhaustive set of value of 'a' for which the function `f(x)=a/3(x^3+(a+2)x^2+(a-1)x+2` possess a negative point of minima is `(q,oo)`. The value of q is

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is

if the complete set of values (s) of 'a' for which the function f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2 possess a negative point of inflection is (-oo, alpha),uu(beta,oo)" then " |alpha|+|beta| is :

If the complete set of value(s) of a for which the function f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2 possess a negative point of inflection is (-oo, alpha)uu(beta,oo)" then " |alpha|+|beta| is ___________ .

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (a) (-oo,-2)uu(0,oo) (b) {-4/5} (c) (-2,0) (d) empty set

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (-oo,-2)uu(0,oo) (b) {-4/5} (-2,0) (d) empty set

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (a) (-oo,-2)uu(0,oo) (b) {-4/5} (c) (-2,0) (d) empty set

The set of value(s) of a for which the function f(x)=(ax^(3))/(3)+(a+2)x^(2)+(a-1)x+2 possesses a negative point of inflection is (-oo,-2)uu(0,oo)( b) {-(4)/(5)}(-2,0)(d) empty set

The exhaustive set of values of x for which f(x)=ln(x^(2)-2x-3) is decreasing is

The set of all values of a for which the function f(x)=((a^2-1)/3)x^3+(a-1)x^2+2x+1 increases on R, is

The exhaustive set of values of x for which f(x)= ln(x^(2)-2x-3) is decreasing is