How to determine the absolute max min of a function on an open interval
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7 سال پیش
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👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points of a function under some certain condition is called the extreme value theorem. The extreme value theorem states that if a function is continuous on a closed interval [a, b], then f(x) has both a maximum and a minimum value on [a, b].
To obtain the extreme values of a function on a closed interval using the extreme value theorem, first, we obtain the critical values of the function on the interval by finding the derivative and solving for x. Next, we evaluate the function at each of the critical values found, then we also evaluate the function at each endpoint of the interval. The least of these values is the minimum value and the greatest is the maximum value.
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Organized Videos:
✅Applications of the Derivative
Applications of the Derivative
✅Determine Increasing or Decreasing Function From a Table
Determine Increasing or Decreasing Fu...
✅Concavity of Functions
Concavity of Functions
✅Extreme Value Theorem of Functions
Extreme Value Theorem of Functions
✅First Derivative Test for Functions
First Derivative Test for Functions
✅Find the Critical Values of a Function
Find the Critical Values of a Function
✅Extrema, Concavity, Increasing Decreasing Intervals from a Graph
Extrema, Concavity, Increasing Decrea...
✅Sketch the Graph of the First and Second Derivative
Find the Points of Inflection of a Fu...
✅Find the Points of Inflection of a Function
Find the Points of Inflection of a Fu...
✅Second Derivative Test For a Function
Second Derivative Test For a Function
✅Intermediate Value Theorem of Functions
Intermediate Value Theorem of Functions
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👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#derivatives #brianmclogan
To obtain the extreme values of a function on a closed interval using the extreme value theorem, first, we obtain the critical values of the function on the interval by finding the derivative and solving for x. Next, we evaluate the function at each of the critical values found, then we also evaluate the function at each endpoint of the interval. The least of these values is the minimum value and the greatest is the maximum value.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm...
❤️Support my channel by becoming a member: @brianmclogan
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: mrbrianmclogan
Organized Videos:
✅Applications of the Derivative
Applications of the Derivative
✅Determine Increasing or Decreasing Function From a Table
Determine Increasing or Decreasing Fu...
✅Concavity of Functions
Concavity of Functions
✅Extreme Value Theorem of Functions
Extreme Value Theorem of Functions
✅First Derivative Test for Functions
First Derivative Test for Functions
✅Find the Critical Values of a Function
Find the Critical Values of a Function
✅Extrema, Concavity, Increasing Decreasing Intervals from a Graph
Extrema, Concavity, Increasing Decrea...
✅Sketch the Graph of the First and Second Derivative
Find the Points of Inflection of a Fu...
✅Find the Points of Inflection of a Function
Find the Points of Inflection of a Fu...
✅Second Derivative Test For a Function
Second Derivative Test For a Function
✅Intermediate Value Theorem of Functions
Intermediate Value Theorem of Functions
🗂️ Organized playlists by classes here: mrbrianmclogan
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca...
Connect with me:
⚡️Facebook - Facebook: freemathvideos
⚡️Instagram - Instagram: brianmclogan
⚡️Twitter - Twitter: mrbrianmclogan
⚡️Linkedin - LinkedIn: brian-mclogan-16b43623
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog...
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#derivatives #brianmclogan
7 سال پیش
در تاریخ 1396/09/14 منتشر شده
است.
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