► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
The process for finding the extrema on a closed interval is the same as the process for finding extrema on an open interval. You'll take the derivative of the function, and then set the derivative equal to 0 to solve for critical points.
Because you're looking at a closed interval, you should only consider the critical points within the interval. Any critical points outside the interval can be ignored.
Then you'll use the first derivative test to characterize the critical points inside the interval, and both endpoints of the interval. Because the interval is closed, you can call the critical point or endpoint with the highest value the global maximum, and you can call the critical point or endpoint with the lowest value the global minimum. All other critical points or endpoints will be called local maxima and local minima, which of course will be the local extrema of the function on the closed interval.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King
Tagged under: local extrema,global maximum,optimization,max min,Krista King,calculus,global extrema,endpoints,extrema,closed interval,local minimum,local maximum,calculus expert,expert,derivatives, ,maximum minimum,global minimum,educational
Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.
Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip
Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans
1. Students enter a simple code
2. You play the video
3. The students comment
4. You review and reflect
* Whiteboard required for teacher-paced activities
With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.
Carry out a quickfire formative assessment to see what the whole class is thinking
Create interactive presentations to spark creativity in class
Student teams can create and share collaborative presentations from linked devices
Turn any public video into a live chat with questions and quizzes