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Concavity and inflection points
One of the neat things about calculus is that it gives us a mathematical way to describe the shape of curves. In this tutorial, you will learn about concavity and inflection points, which describe quantitatively how a curve curves. This will be useful for finding maxima and minima.
What is concavity?
Sal walks through an exercise where you are asked to recognize the concavity of a function in certain regions.
Practice your understanding of concavity.
Inflection points are where a function changes in concavity.
Because the derivative and second derivative give us information about the "shape" of a function, we can use this information to sketch the graph of a function.
More practice using the derivative and second derivative to draw a function's graph.
Practice your understanding of concavity and its relationship with the second derivative.
Practice using the second derivative test for extrema