If `f(x)=sin^-1(sinx),` then `f'(x)` is

If f(x)=sin^(-1)(sin x), then f'(x) is

f(x)=tan^(-1)(sinx+cosx),"then "f(x) is increasing in

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

If f(x)=sqrt(sinx)," find "f^(')(x) .

Sometimes functions are defined like f(x)=max{sinx,cosx} , then f(x) is splitted like f(x)={{:(cosx, x in (0,(pi)/(4)]),(sinx, x in ((pi)/(4),(pi)/(2)]):} etc. If f(x)=max{(1)/(2),sinx} , then f(x)=(1)/(2) is defined when x in

If f(x)=[x][sin x] in (-1,1) then f(x) is

If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2) , then (dy)/(dx) is equal to

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

If f(x)={sin^(-1)(sinx),xgt0 (pi)/(2),x=0,then cos^(-1)(cosx),xlt0