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AP Calculus AB/BC
Unit 5 – Analytical Applications of Differentiation
Topic 5.1
Consider the function h(x) = x^3 on the interval [0, 3]. Which of the following is guaranteed by the Mean Value Theorem for this function?
There exists a value c in [0, 3] such that h’(c) = 9.
There exists a value c in (0, 3) such that h’(c) = 9.
There exists a value c in [0, 3] such that h’(c) = 3.
There exists a value c in (0, 3) such that h(c) = 9.
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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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