Local and General Maximum and Minimum of a Function | Extrema Points
😎 Stuck on your homework? No more missed deadlines, join GeeklyHub today and get 20% off your first order - https://bit.ly/3kA5Acd Learn about the Maximum and Minimum of a Function. We’ll use information we already covered in the previous videos, especially the Derivative and Continuous and Discontinuous Functions (scroll down to find the links to videos). Maximumum and Minimum Points are also called the Extrema Points and in the function we have Local Maximum and Local Minimum. Those extrema points are the coordinates where the function changes its direction. There are also Global Maximum and Global Minimum points – those are extrema points of a given interval. Watch our video to learn about Critical Points, how to calculate the extrema points, second derivative test for local extrema points and solve a few example problems involving Minimum and Maximum points of a Function!
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0:00 Introduction
0:31 What are Extrema Points? Local Maximum and Minimum
0:48 What are Global Maximum and Minimum Points?
0:54 What are Critical Points?
1:26 How to calculate the Extrema Points?
2:11 Maxima and Minima Values of a Function Example Problem
3:47 Second Derivative Test for Local Extrema Points
4:25 Find Local Maxima and Minima Values of a Function Example Problem
📚 Problems we’re going to solve today:
❓ “Find all the maxima and minima values of f(x)=xˆ4-2xˆ2+3, [-2,3]”
❓ “Find all the local maxima and minima values of f(x)=xˆ4-2x+3”
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