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

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

If f(x)=max{sin x,sin^(-1)(cos x)}, then f is differentiable everywhere f is always continuous f is discontinuous at x=(n pi)/(2),n in If is not differentiable everywhere

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

The function f(x)=|cosx| is (a) everywhere continuous and differentiable (b) everywhere continuous but not differentiable at (2n+1)pi//2 , n in Z (c) neither continuous nor differentiable at (2n+1)pi//2 , n in Z (d) none of these

The function f(x)=|cos x| is (a) everywhere continuous and differentiable (b) everywhere continuous but not differentiable at (2n+1)pi/2,n in Z(c) neither continuous nor differentiable at (2n+1)pi/2,n in Z(d) none of these

Statement-1: If f(x+y)=f(x)+f(y), then fis either differentiable everywhere or not differentiable everywhere.Statement-2: Any function is either differentiable everywhere or not differentiable everywhere

If f(x) is differentiable everywhere, then which one of the following is correct?

If f(x) is differentiable everywhere, then which one of the following is correct?

The function f(x)=(sinx)/(sinx-cosx) is discontinuous at -