At a point of inflection of y = f(x), what is the value of d^2y/dx^2?
Answer and explanation
Correct answer: B. 0
- Step 1: A point of inflection is a point where the concavity changes. Step 2. For a smooth function, the second derivative must satisfy f''(x) = 0 (and change sign across the point). Answer: 0. Why not the others: 1 indicates upward concavity; infinity indicates a vertical cusp; -1 indicates downward concavity.
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