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AP Calculus AB/BC
Unit 5 – Analytical Applications of Differentiation
Topic 5.1
Consider the function g(x) = e^x on the interval [0, 2]. Which of the following is guaranteed by the Mean Value Theorem for this function?
There exists a value c in (0, 2) such that g’(c) = e.
There exists a value c in [0, 2] such that g’(c) = 0.
There exists a value c in (0, 2) such that g’(c) = (e^2 - 1)/2.
There exists a value c in [0, 2] such that g(c) = (e^2 - 1)/2.
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AP Calculus AB/BC - 5.1 Using the Mean Value Theorem
Key terms
Mean Value Theorem
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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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