The largest interval lying in `(-pi/2,pi/2)` for which the function `[f(x)=4^-x^2+cos^(- 1)(x/2-1)+log(cosx)]` is defined is

The largest interval lying in (-pi/2, pi/2) for which the function f(x) =4^(-x^(2)) + cos^(-1)(x/2-1) + log(cos x) is defined, is

The largest Interval lying in (-pi/2,pi/2) for which the function : f(x)= [4^(-x^(2))+ cos^(-1) (x/2-1)+ log( cos x)] is defined is :

The largest interval lying in [(-pi)/(2),(pi)/(2)] for which the function f(x)= [4^(-x^(2)+cos^(-1)((x)/(2)-1)+log(cos x)] is defined is :

In the interval (0, (pi)/(2)) the function f (x) = cos ^(2) x is :

Find the interval in which the function f(x) =2 log (x-2) -x^(2)+4x +1 is increasing .

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is (pi)/(2) (b) (pi)/(4) (c) (pi)/(8) (d) (pi)/(16)

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is (a) pi/2 (b) pi/4 (c) pi/8 (d) pi/(16)