`f(x)={(max(sint), 0letlex , x in [0,pi]),(2+cosx,,xgtpi):}` Find number of points where `f(X)` is not continuous and differentiable

If f(x)=||x|-1| ,then the number of points where f(x) is not differentiable is

If f(x)=max{tanx, sin x, cos x} where x in [-(pi)/(2),(3pi)/(2)) then the number of points, where f(x) is non -differentiable, is

Let f(x)=sin x,g(x)={{max f(t),0 pi Then number of point in (0,oo) where f(x) is not differentiable is

f:(0,oo)rArr R f(x)= max(x^(2),|x|) then the number of points where function is non- differentiable,is

Let f: [0,(pi)/(2)]rarr R be a function defined by f(x)=max{sin x, cos x,(3)/(4)} ,then number of points where f(x) in non-differentiable is

If f(x)=|x^(2)-3x+2|+|sinx| then number of points where f(x) is not differentiable in [-pi,pi] is

f:[0,2pi]rarr[-1,1] and g:[0,2pi]rarr[-1,1] be respectively given by f(x)=sin and g(x)=cosx . Define h:[0,2pi]rarr[-1,1] by h(x)={("max"{f(x),g(x)} "if"0lexlepi),("min"{f(x),g(x)} "if" piltxle2pi):} number of points at which h(x) is not differentiable is