Rolle's Theorem is special case of ______?

Lecturer Mathematics Past Papers and Syllabus / All — Multiple-choice practice

  1. A. Mean value theorem
  2. B. Taylor Series of a function
  3. C. None of these
  4. D. Leibniz theorem

Correct answer

Mean value theorem

Explanation

Explanation Rolle's Theorem is a special case of the Mean Value Theorem (MVT) where the function has equal values at two endpoints. It ensuring the derivative is zero at some point in the interval. It is derived from MVT by adding the condition f ( a ) = f ( b ) f(a) = f(b) .

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