Computer Sciences > GATE 2014 SET-1 > Calculus
Let the function
where θ ∈ [π/6, π/3] and f'(θ) denote the derivative of f with respect to θ. Which of the following statements is/are TRUE?
(I) There exists θ ∈ (π/6, π/3) such that f'(θ) = 0
(II) There exists θ ∈ (π/6, π/3) such that f'(θ) ≠ 0
A
I only
B
II only
C
Both I and II
D
Neither I nor II

Explanation

Correct : c

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