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GATE 2014 · session-1
Engineering MathematicsCalculusmediumMCQ1 mark
Let the function f(θ) = det([sin θ, cos θ, tan θ; sin(π/6), cos(π/6), tan(π/6); sin(π/3), cos(π/3), tan(π/3)]), where θ ∈ [π/6, π/3] and f′(θ) denotes 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.
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