Consider the function f (x) = sin x/2, 1 < x < 1 and f (x)

Consider the function f (x) = sinπ x/2, − 1 < x < 1 and f (x) = −1, x ≤ −1, f (x) = 1, x ≥ 1.

Graph f(x) = df/dx, and d²f/dx² over the interval –2 < x < 2.

Which if any of these functions is continuous over the interval?