Find the coordinates of the local maximum of for .

Answer and explanation

Correct answer: C.

  1. Step 1: Differentiate using the quotient rule: . Set . Then . Since changes from positive to negative, this is the maximum. **Answer: . Why not the others:** " x-intercept" is the x-intercept where , where is strictly increasing; " inflection" is the inflection point where , not a local extremum; " identity" incorrectly evaluates instead of .

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