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

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

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|^(|sinx|) then f^1(-pi/4) is equal to

If 3f(cosx)+2f(sinx)=5x , then f^(')(cosx) is equal to (where f^(') denotes derivative with respect to x ) (A) −1/(cosx) (B) 1/(cosx) (C) -1/(sinx) (D) 1/(sinx)

If f(x)=sinx" and "g(x)=sgn sinx , then g'(1) equals

If f(x)=sinx" and "g(x)=sgn sinx , then g'(1) equals

Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2+ sinx] Then , the range of f(x) is

Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2+ sinx] Then , the range of f(x) is

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to (a)(f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1)) (f(x)-1)/(a(f(x)+1)) (d) (f(x)+1)/(a(f(x)+1))

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to (a)(f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1)) (f(x)-1)/(a(f(x)+1)) (d) (f(x)+1)/(a(f(x)+1))