The Mean Value Theorem practice question 10 (Capstone)

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The Mean Value Theorem
Question 10

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Longhand is an independent educational resource. It is not affiliated with, sponsored by, or endorsed by the University of British Columbia. The MATH 100 course name is used only to help students identify relevant study material.

Theory references: UBC Math 100: Differential Calculus and its Practice Book (Kelly Paton and Elyse Yeager), and CLP-1 Differential Calculus (Joel Feldman, Andrew Rechnitzer and Elyse Yeager), both CC BY-NC-SA 4.0. The textbooks are cited as references for the theory. The questions, solutions and mock papers on this site are original work written for this site; nothing is reproduced or adapted from either book.