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 longest interval in which the function 3sin x-4sin^(3)x is increasing is (pi)/(3)(b)(pi)/(2)(c)(3 pi)/(2)(d)pi

For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4 (c) (3pi)/4 (d) (4pi)/3

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 (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

Show that the function f(x)=sin(2x+pi/4) is decreasing on (3 pi/8,5 pi/8)

Show that function f(x)=sin(2x+(pi)/(4)) is decreasing on ((3 pi)/(8),(5 pi)/(8))

On which of the following intervals is the function f given by f(x)=x^(100)+sinx-1 strictly decreasing ? (A) (0, 1) (B) (pi/2,pi) (C) (0,pi/2) (D) None of these

show that the function f(x)=tan x-4x is a strictly decreasing function on (-(pi)/(3),(pi)/(3))

The value of c in Lagranges theorem for the function f(x)=log sin x in the interval [(pi)/(6),(5 pi)/(6)] is (pi)/(4) (b) (pi)/(2)(2 pi)/(3) (d) none of these

The gratest value of the function f(x)=(sinx)/(sin(x+pi/4)) on thhe interval [0,pi//2] is