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If f(x)=max{sinx ,sin^(-1)(cosx)}, then ...

If `f(x)=max{sinx ,sin^(-1)(cosx)},` then `f` is differentiable everywhere `f` is always continuous `f` is discontinuous at `x=(npi)/2,n in I` `f` is not differentiable everywhere

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The function f(x)=|cos sx| is everywhere continuous and differentiable everywhere continuous but not differentiable at (2n+1)(pi)/(2),n in Z .neither continuous not differentiable at (2x+1)(pi)/(2),n in Z

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Let f(x)=|sin x|. Then,(a) f(x) is everywhere differentiable.(b) f(x) is everywhere continuous but not differentiable at x=n pi,n in Z(c)f(x) is everywhere continuous but not differentiable at x=(2n+1)(pi)/(2),n in Z.( d) none of these

If f(x)= ((xe^(-1/|x|+1/x), if, x!=0),(0 , if, x=0)) , then f(x) is 1) continuous for all x, but is not differentiable2) neither differentiable nor continuous3) discontinuous everywhere4) continuous as well as differentiable for all x

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