Start learning →

By the same logic a twice-differentiable function is concave down when its derivative is:

AIncreasing
BZero always
CNegative always
DDecreasing
Answer & Solution
Correct answer: D. Decreasing
1. Concave down means the curve bends downward. 2. That happens when the slope keeps shrinking. 3. So it is concave down when the derivative is decreasing. _Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
Practise this question with Quill — AP Calculus AB →

Keep practising Unit 2: Differentiation and Fundamental Derivative Rules

Browse all Unit 2: Differentiation and Fundamental Derivative Rules questions for AP Calculus AB, or explore more Mathematics topics.

Start a Unit 2: Differentiation and Fundamental Derivative Rules lesson →