Total number of critical points of f(x)

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Total number of critical points of f(x) = maximum (sin x, cos x) ∀ x ∈ (-2π, 2π) equal to:

Options:

Correct Answer:

Explanation:

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