What is the Mean Value Theorem guarantee for on ? Find where .
Answer and explanation
Correct answer: D.
- Step 1: The average rate of change is . Differentiate: . Set . **Answer: . Why not the others:** " quarter point" gives , which does not equal the secant slope; " three-quarter" gives , exceeding the secant slope; " geometric" confuses the arithmetic mean with the geometric mean of the interval.
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