GATE Questions & Answers of Mean Value Theorem

What is the Weightage of Mean Value Theorem in GATE Exam?

Total 1 Questions have been asked from Mean Value Theorem topic of Calculus subject in previous GATE papers. Average marks 1.00.

Let the function

fθ=sinθcosθtanθsinπ6cosπ6tanπ6sinπ3cosπ3tanπ3

where θπ6,π3 and f'θ denote the derivative of f with respect to θ. Which of the following statements is/are TRUE?

(I) There exists θπ6,π3 such that f'θ=0.

(II) There exists θπ6,π3 such that f'θ≠0.