📝 Rolle’s Theorem

Q1. Which of the following is NOT a required condition for Rolle’s Theorem to guarantee a point c where f'(c)=0 on the interval [a,b]?

💡 Difficulty: easy | ✅ Correct: D

Q2. A particle moves along a line with position s(t)=t^3-3t^2+2t for 0≤t≤3. Which time c guaranteed by Rolle’s Theorem satisfies s'(c)=0?

💡 Difficulty: medium | ✅ Correct: B

Q3. If f(x)=x^3‑3x on [‑1,1], which of the following statements about the point guaranteed by Rolle’s Theorem is correct?

💡 Difficulty: hard | ✅ Correct: A