On which of the following intervals is the function `x^(100)+sinx-1` decreasing? (a) `(0,pi/2)` (b) `(0,1)` (c) `(pi/2,pi)` (d) none of these

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

On the interval (0,(pi)/2) the function log sinx is

Which of the following functions is decreasing on (0,(pi)/(2)) ?

Which of the following functions is not decreasing on (0,pi//2)?

The length of the longest interval in which the function y=sin2x-2sinx increases for x in [0, pi] is

Which of the following functions are strictly decreasing on [0,(pi)/(2)] (A) (B) cos 2x (C) tan x

Write the interval for which the function f(x) = cos x, 0 le x le 2pi is decreasing

int_0^pi (sin((n+1)/2)x)/sinxdx= (A) 0 (B) pi/2 (C) pi (D) none of these

The range of f(x)=sin^(-1)((x^(2)+1)/(x^(2)+2)) is [0,(pi)/(2)] (b) (0,(pi)/(6))( c) [(pi)/(6),(pi)/(2)](d) none of these

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