यदि `f(x)=x^(100)+sinx-1` तो सिद्ध कीजिये कि अन्तराल ]0,1[,] `pi/2,pi` [ तथा ]`0,pi/2` में निरंतर वर्धमान फलन है

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

If f(x)=2sinx-x^(2) , then in x in [0, pi]

If f(x)=2sinx-x^(2) , then in x in [0, pi]

If f(x)=cos^(-1)((2x^2+1)/(x^2+1)), then rang of f(x) is [0,pi] (2) (0,pi/4] (0,pi/3] (4) [0,pi/2)

If f(x) = tan^(-1)(sqrt((1+sinx)/(1-sinx))), 0 lt x lt pi/2 , then f'(pi/6) is

If f(x) = tan^(-1)(sqrt((1+sinx)/(1-sinx))), 0 lt x lt pi/2 , then f'(pi/6) is

If f(x)=|(Sinx , 1, 0),(x - pi/2,Sinx,1),(0,1,Sinx)| then (df)/(dx) at x = pi/2 is

if f(x)=|[sinx,1,0],[1,2sinx,1],[0,1,2sinx]| then int_(-pi/2)^(pi/2)f(x)dx equals