In calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also give information about the concavity of a function. The usefulness of derivatives to find extrema is proved mathematically by Fermat's theorem of stationary points. (Wikipedia).
The true second derivative test
In this video I present the second derivative test in multivariable calculus, which is used to find local maxima/minima/saddle points of a function. However, unlike the nonsense they usually teach in the books, here I'm presenting a more elegant way with some linear algebra blended in. I'm
From playlist Partial Derivatives
Calculus - What is a Derivative? (1 of 8) Overview
Visit http://ilectureonline.com for more math and science lectures! In this video I will give a general overview and the definition of “What is a derivative?”
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Evaluating Limits Definition of Derivative
I work through 2 example evaluating the limit definition of a derivative. Check out http://www.ProfRobBob.com, there you will find my lessons organized by chapters within each subject. If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my chann
From playlist Calculus (New)
Derivatives are the main object of study in differential calculus. They describe rates of change of functions. That makes them incredibly useful in all of science, as many models can be expressed by describing the changes over time (e.g. of physical quantities). However, the abstract defin
From playlist Summer of Math Exposition Youtube Videos
How to take the derivative using charts
👉 Learn how to find derivative using a given table of values. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. Given a table conta
From playlist Find the Derivative from a Table
Where Does the Definition of the Derivative Come From?
A student asked about the definition of the derivative in class so I derived the definition really quickly. We had just finished covering infinite limits so we were not talking about derivatives yet, but it was such a good question that I thought I should share this here. I hope this hel
From playlist Calculus 1 Exam 1 Playlist
Derivative from a table using product rule
👉 Learn how to find derivative using a given table of values. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. Given a table conta
From playlist Find the Derivative from a Table
Find the derivative of product rule using charts
👉 Learn how to find derivative using a given table of values. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. Given a table conta
From playlist Find the Derivative from a Table
Determine Derivative Function Values Using a Free Online Calculator (MathAS)
This video explains how to determine derivative function values using a free online graphing calculator. https://dlippman.imathas.com/graphcalc/graphcalc.html
From playlist Introduction and Formal Definition of the Derivative
Applied Calc 1 Ep 21: Second derivative test
Episode 21 of my videos for my Applied Calculus 1 course at Fairfield University. This is a first calculus course for undergraduates, taken mostly by business and health/life sciences students. This episode is about the second derivative test. Class webpage: http://cstaecker.fairfield.ed
From playlist Math 1121 (Applied Calculus 1)
Calculus AB Homework 4.4: Relative Extrema
Download Packet: https://goo.gl/tg9SDC ================================= AP Calculus AB / IB Math SL Unit 4: Applications of the Derivative Lesson 4: Relative Extrema =================================
From playlist AP Calculus AB
Applied Calc 1, Episode 20: 2nd derivative test
Episode 20 of my videos for my "flipped" Math 119 (Applied Calculus 1) course from Spring 2015 at Fairfield University. This is a first calculus course for undergraduates, taken mostly by business and health/life sciences students. This episode is about using the second derivative to iden
From playlist Math 119 (Applied Calc I) Fall 2017
Calculus 1 (Stewart) Ep 25, Second Derivative Test (Nov 5, 2021)
This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f
From playlist Math 1171 (Calculus 1) Fall 2021
AP Calculus AB and BC Unit 5 Review [Analytical Applications of Differentiation]
► My AP Calculus AB and BC Ultimate Review Packets: AB: https://bit.ly/KristaAB BC: https://bit.ly/KristaBC Before you watch this video all about Unit 5 of AP Calculus AB/BC, Analytical Applications of Differentiation, make sure you get the study guide that goes with it. The study guide i
From playlist AP Calculus BC
Calculus 1: Lecture 3.4 Concavity and The Second Derivative Test
This is a classroom lecture on Calculus 1. I go over concavity and the second derivative test. I hope this helps someone:)
From playlist Calculus 1 Full Lectures
Calculus: The Second Derivative Test
In this video, we learn about the second derivative and how it can be used to classify extreme function values.
From playlist Calculus
Calculus: What Derivatives Tell Us, Part 3
This is the last video in my series discussing Briggs/Cochran Calculus Section 4.2: What Derivatives Tell Us. In this video, I discuss the second derivative, concavity, and the Second Derivative Test.
From playlist Calculus
Concavity Inflection Second Derivative Test 4 Examples Calculus 1 AB
Visual Analysis 4:23 Examples at 21:40 29:47 42:16 Even though this is corrected, I still forgot the power of 2 on the cosine in the denominator at minute 46:41 I have a full set of notes for Concavity: Testing for Concavity, Look at some graphical examples of where concavity may change
From playlist Calculus
This calculus video tutorial provides a basic introduction into the second derivative test. It explains how to use the second derivative test to identify the presence of a relative maximum or a relative minimum at a critical point. If the second derivative is positive at a critical numbe
From playlist New Calculus Video Playlist
definition of derivative for a rational function
Here we will use the definition of derivative to find the derivative of a rational function. This is a slightly harder calculus 1 problem so be sure you practice it a few times and make sure you can do it on your own. Get a derivative t-shirt: 👉 https://bit.ly/derivativetshirt Use "WELCO
From playlist Sect 2.7, Definition of Derivative