► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
The critical points of a function are the points at which the function changes direction from increasing to decreasing, or vice versa. Critical points are valuable because they will be the points at which the function has a local or global maximum, or a local or global minimum. In other words, the extrema of a function will always be located at critical points, so if we can find the critical points of a function, we'll also be able to find the function's extrema.
Luckily, to find critical points, all we have to do is take the first derivative of the function, set it equal to 0, and solve for x. This will give us any potential critical points. The tricky part is that the points we find with this method are only potential critical points. In order to prove that they are in fact critical points, we have to prove that the function changes direction at those points, which we'll do using the first derivative test.
● ● ● 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: increasing,critical points, ,calculus expert,expert,optimization,calculus, derivative test,educational,derivatives,Krista King,decreasing,increasing decreasing
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