Answer: 2/3.
- A 2/3
- B 3/2
- C 1
- D 6
Correct answer: A. 2/3
Explanation: Numerator ~ 2x and denominator ~ 3x, so the ratio tends to 2/3.
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