The function f(x) = 1 + |sinx| is
(a) Continuous nowhere
(b) Continuous everywhere
(c) differentiable nowhere
(d) not differentiable at x = 0
Correct option (a, d)
Explanation:
We have f(x) = 1 + |sin x|
Clearly f(x) is continuous everywhere but not differentiable at x = nπ, n ∈ I.