Let `f(x)=2x^(3)-3(2+p)x^(2)+12px+ln(16-p^(2))` . If `f(x)` has exactly one local maxima and one local minima, then the number of integral values of `p` is

Let f(x)=2x^(3)-3(2+p)x^(2)+12px+ln(16) , f(x) has exactly one local maxima and one local minima, then the number of integral values of p is (are)

Let f(x)=2x^(3)-3(2+p)x^(2)+12px If f(x) has exactly one local maxima and one local minima, then the number of integral values of p is ....

Let f(x)= 2x^(3)-3(2+P)x^(2)+12Px+ln(16-P^(2)) .If f(x) has exactly one local minimum,one local maximum.Then the number of integral values of P is

Let S be the set of real values of parameter lamda for which the equation f(x) = 2x^(3)-3(2+lamda)x^(2)+12lamda x has exactly one local maximum and exactly one local minimum. Then S is a subset of

Let f (x) = x^(2) , x in [-1 , 2) Then show that f(x) has exactly one point of local minima but global maximum is not defined.

Find all points of local maxima and local minima of the function f given by f(x)=x^(3)-3x+3

Let f(x)= (sqrt(x^(2)+px+1))/(x^(2)-p) .If f(x) is discontinuous at exactly two values of x then number of integers in the range of p is