7 min read
This study guide covers concavity of functions using the second derivative. It explains concave up and concave down, relating them to the increasing/decreasing slopes of tangent lines and the sign of the second derivative (f''(x)). It also defines and explains how to find inflection points, where concavity changes and f''(x)=0. Finally, it provides practice problems and solutions for determining concavity and inflection points.
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Question 1 of 11
🎉 Look at the graph! If a curve is shaped like a cup (U), what is the concavity?
Concave down
Concave up
Linear
Neither concave up nor down