Lesson: Critical Points and Local Extrema of a Function Mathematics • Third Year of Secondary School

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In this lesson, we will learn how to find critical points of a function and check for local extrema using the first derivative test.

Students will be able to

recall the definition of a critical point of a function,
find the critical points of a function,
understand that critical points can be classified as minima, maxima, and points of inflection,
classify a critical point as a local minimum or maximum using the first derivative test.