Calc 1: Differential Calculus

Lecture 23: Determining Properties of a Function from its First and Second Derivatives

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Video 1: Derivatives and the Shape of a Graph

In this first video, we talk about how the shape of a graph is related to the sign of the first and second derivatives.

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Video 2: The First and Second Derivative Tests

This second video introduces the First Derivative Test and the Second Derivative Test. These are tests for identifying critical points of a function as belonging to local maxima or local minima (or neither of those).