Question

If f(x) = [a+13 sinx] & x ε (0, $\pi$), then number of non-differentiable points of f(x) are [where 'a' is integer]

Answer 1

Points where sin X = $\frac{1}{3}$, $\frac{2}{13}$,.…$\frac{12}{13}$ will be the points of non-derivability of f(x)
⇒ 24 points

and also where the sin x = 1 ⇒ 1 points.
Therefore, 25 points of non-derivability