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We can prove rigorously that whenever a function has a relative extremum, its derivative is either undefined or 0 there. It follows that wherever the function has a nonzero derivative, there is no …

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Whenever your function changes from decreasing to increasing, or when your first derivative changes from negative to positive, you have a relative minimum (and vice versa for relative maximums).

Absolute and relative extrema Learn Introduction to minimum and maximum points Finding relative extrema (first derivative test)

Finding relative extrema (first derivative test) Google Classroom Microsoft Teams About Transcript

Extrema is the general name for maximum and minimum points. This video shows how to identify relative and absolute extrema in the graph of a function.

The thing is, relative extrema are defined to be maximum or minimum points in a small locality. So, the interval [d,b] wouldn't be very "local" to c. To maintain consistency with the definition, Sal took a …

AP®︎/College Calculus AB Course: AP®︎/College Calculus AB > Unit 5 Relative minima & maxima AP.CALC: FUN‑4 (EU), FUN‑4.A (LO), FUN‑4.A.2 (EK) Google Classroom Microsoft Teams

Using the first derivative test to find relative (local) extrema Learn Introduction to minimum and maximum points Finding relative extrema (first derivative test)