Lesson: Interpreting Graphs of Derivatives Mathematics • Third Year of Secondary School

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In this lesson, we will learn how to connect a function to the graphs of its first and second derivatives.

Students will be able to

use a graph of a function to describe the behavior of the first derivative and second derivative of the function at different points along the graph,
describe the gradient, local extrema, and convexity of the graph of a function using the graph of the first or second derivative of the function.