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)=(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

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 :

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

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 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 all values of a for which the function f(x)=(a^2-3a+2)(cos^2\ x/4-sin^2\ x/4)+(a-1)x+sin1 does not possess critical points is (A) [1,oo) (B) (0,1) uu (1,4) (C) (-2,4) (D) (1,3) uu (3,5)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2) does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)(cot x)/(2)(sin^(2)x)/(2) does not possess critical points is (-oo,-(4)/(3)) (b) (-oo,-1)(c[1,oo)(d)(2,oo)