Let `f(x)=((a^2-4)/(a^2+2))x^3-3x+sin3 `, then the true set of values of a for which f(x) is strictly decreasing on R is

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

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

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

Let f(x) be a function such that f '(x)= log _(1//3) (log _(3) (sin x+ a)). The complete set of values of 'a' for which f (x) is strictly decreasing for all real values of x is:

Let f(x) be a function such that f '(x)= log _(1//3) (log _(3) (sin x+ a)). The complete set of values of 'a' for which f (x) is strictly decreasing for all real values of x is:

Find the values of x for which f(x)= 2 x^3 -15 x^2 -144x -7 is strictly decreasing

Find the intervals in which the function f(x)= 2x^2-3x is strictly decreasing.

Find the intervals in which the function f(x) = 2x^2-3x is strictly decreasing.

Find the intervals in which f(x)=sin3x cos3x,0