Total number of critical points of f(x) = maximum (sin x, cos x) ∀ x ∈ (-2π, 2π) equal to:
Answer & explanation
Correct answer: option 2
f(x) = max(sin x, cos x)
The graph of f(x)
At the points 2,4,6 f'(x) = 0
At the points 1, 3, 5, 7 f'(x) does not exist,
Hence total number of critical points is 7