Answer: Minimum.
- A Maximum
- B Minimum
- C Inflection point
- D No conclusion
Correct answer: B. Minimum
Explanation: f''(x) > 0 at critical point: concave up, so it is a local minimum.
As point Q slides along the curve toward P, the secant line PQ rotates into the tangent line at P, whose slope is the derivative.
Concept context
Rate of change, differentiation rules, and applications