The number of integral values of `a` for which `f(x) = x^3 + (a + 2)x^2 + 3ax + 5` is monotonic in `AA x in R`

Number of integral values of 'a' for which (a-1)x^(2)+(a-1)x+1>=0AA x in R ,is ?

The number of integral values of m for which f : R to R ,f (x) = (x ^(2))/(3) + (m -1) x ^(2) + (m +5) x+n is bijective is :

Find the number of integral values of 'a' for which ax^2 - (3a + 2)x + 2(a + 1) < 0, a != 0 holds exactly four integral value of x.

The sum of all integral values of a , a in[1,10] for which f(x)=x^(3)-3x^(2)+ax+2cos x is strictly increasing

Find the number of integral vaues of 'a' for which the range of function f (x) = (x ^(2) -ax +1)/(x ^(2) -3x+2) is (-oo,oo),

Find the number of integral vaues of 'a' for which the range of function f (x) = (x ^(2) -ax +1)/(x ^(2) -3x+2) is (-oo,oo),

For what values of a does the curve f(x)=x(a^2-2a-2)+cosx is always strictly monotonic decreasing AA x in R

The least integral value of x where f(x)=log_((1)/(2))(x^(2)-2x-3) is monotonically decreasing is

Find the number of integral values of 'a' for which ax^(2)-(3a+2)x+2(a+1)<0,a!=0 holds exactly four integral value of x.