12 июл. 2022 г. · A function is concave up if the rate of change is increasing. A function is concave down if the rate of change is decreasing. A point where a ...

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Опубликовано: 22 авг. 2023 г.

A function is concave down if the rate of change is decreasing. A point where a function changes from concave up to concave down or vice versa is called an ...

Concavity relates to the rate of change of a function's derivative. A function f is concave up (or upwards) where the derivative f ′ is increasing.

20 дек. 2020 г. · " If the function is decreasing and concave down, then the rate of decrease is decreasing. The function is decreasing at a faster and faster ...

4 дек. 2022 г. · Since f is concave up when f' is increasing and concave down when f' is decreasing, then f is concave up on the intervals ( − ∞ , 1 ) (-\ ...

16 февр. 2023 г. · Where it is positive it is concave up; where it is negative it is concave down.

Notice that a function can be concave up regardless of whether it is increasing or decreasing.

We say that a graph is concave up if the line between two points is above the graph, or alternatively if the first derivative is increasing.