If `f(x)={[cos pi x],x lt 1 and |x-2|,1 leq x lt 2` then `f(x)` is

If f(x) = {sinx , x lt 0 and cosx-|x-1| , x leq 0 then g(x) = f(|x|) is non-differentiable for

If sin2x=cos3x and 0 leq x lt pi/2 then x=

Statement-1 f(x)=(sin x)/(x) lt 1 for 0 lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)

Statement-2 f(x)=(sin x)/(x) lt 1 for lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)

If f(x)={{:(,1,x lt 0),(,1+sin x,0 le x lt (pi)/(2)):} then derivative of f(x) x=0

If f(x)={{:(,1,x lt 0),(,1+sin x,0 le x lt (pi)/(2)):} then derivative of f(x) at x=0

If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3 , then f is