The graph of has a point of inflection. What is its -coordinate?
Answer and explanation
Correct answer: B.
- Step 1: Find the first derivative using the product rule: .
- Step 2: Compute the second derivative: . Since , changes sign at , identifying an inflection point at .
- Step 3: Calculate the corresponding -coordinate: .
Answer
.
Why not the others: Other values evaluate the -coordinate of the inflection point or substitute the critical value of the first derivative where slope is zero.
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