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In this video I break down the formal definition of a concave function and attempt to explain all aspects and variables used in the definition.
- 22 min
- 83.3K
- Byte Buzz
Nov 27, 2018 · Applications of derivatives and limits. * In this video: how to define concavity of a function * Computational example: • 6.14 Example: Monotonicity and Concav... ...more.
- 9 min
- 21.3K
- MAT137
Oct 10, 2020 · Learn what Concavity is and how to find it for any function! Concavity is an incredibly important principle for many Calculus applications. Just as the first derivative of a function...
- 5 min
- 2071
- Ace Tutors
Sep 9, 2023 · Concave lenses focus light inside the curve of the lens, while convex lenses focus light using the outer curve. A lens that curves like a “C” (no flat side) is both concave or convex, depending on which side of the lens you view from.
One application of concavity in physics is determining acceleration given a position vs time graph. For example a concave up position vs time graph indicates positive acceleration while a position vs time graph that is concave down (as in projectile motion, and spacecraft trajectories) indicates negative acceleration. 2.
Concavity is how the derivative of a function is changing. Something that is concave up looks like a cup, and something that is concave down looks like a frown.
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Real-Life Examples of Concavity of a Function. The concavity of a function, whether it is concave up or down, can provide insightful information in several practical contexts. This concept is particularly relevant in economics, physics, engineering, and even in natural phenomena.
