Let the function \(f\left( \theta \right) = \left| {\begin{array}{*{20}{c}}{\sin \theta }&{\cos \theta }&{\tan \theta }\\{\sin \left( {\frac{\pi }{6}} \right)}&{\cos \left( {\frac{\pi }{6}} \right)}&{\tan \left( {\frac{\pi }{6}} \right)}\\{\sin \left( {\frac{\pi }{3}} \right)}&{\cos \left( {\frac{\pi }{3}} \right)}&{\tan \left( {\frac{\pi }{3}} \right)}\end{array}} \right|\)Where \(\theta \in \left[ {\frac{\pi }{6},\frac{\pi }{3}} \right]\) and f’(θ) denote the derivative of f with respect to θ. Which of the following statements is/are TRUE?(I) There exists \(\theta \in \left( {\frac{\pi }{6},\frac{\pi }{3}} \right)\) such that f’(θ) = 0(II) There exists \(\theta \in \left( {\frac{\pi }{6},\frac{\pi }{3}} \right)\) such that f’(θ) ≠ 0

• A. I only
• B. II only
• C. Both I and II
• D. Neither I nor II