If `f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2` is a decreasing function of x.in, R then the set of possible values of p (independent of x) is

If f(x)=(p^(2)-1)/(p^(2)+1)x^(3)-3x+log2 is a decreasing function of x in,R then the set of possible values of p (independent of x) is

If f(x)=(a^2-1)/(a^2+1)x^3-3x+2log_e5 is a decreasing function of x for all x in R then the set of possible values of a is

If f(X)=((A^(2)-1)/(A^(2)+1))x^(3)-3x+e^((pi)/(2)) is a decreasing function of x in R then the set of possible values of A

If quad f(x)=(2)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-ln(x^(2)+x+1)+(k^(2)-5k+3)x+10 is a decreasing function for all x in R .then possible value of k is

Let p and q be real numbers such that the function f(x)={{:(p^(2)+qx","xge1),(-5px^(2)-6","xlt1):} is derivable for all x in R . Then sum of all possible values of p is

Let p and q be real numbers such that the function f(x)={{:(p^(2)+qx","xge1),(-5px^(2)-6","xlt1):} is derivable for all x in R . Then sum of all possible values of p is

Let f be a function defined from R rarr R as f(x)={ x+p^(2) x 2} If f(x) is surjective function then sum of all possible integral values of p for p in [0 ,10] is

If the function f(x)=2x^(2)+3x-m log x is monotonic decreasing in the interval (0,1) then the least value of the parameter m is

Let a function f defined from R rarr R as f(x)=[x+p^(2)f or x 2 If the function is surjective,then find the sum of all possible integral values of p in [-100,100].

If the range of the function f(x)=(x-1)/(p-x^(2)+1) does not contain any values belonging to the inerval [-1,(-1)/(3)] then the true set of values of p. is :