In this video, I show how to use the Lagrange Error Bound to find the value of sin(0.1) using a third degree Taylor Polynomial.
The theorem all looks a bit complicated but really it just boils down to taking some derivatives and then trying to maximize that function over a given interval. The rest of it is 'plug and chug'!
Tagged under: lagrange,error,bound,theorem,taylor,maclaurin,polynomial,approximation,approximate,maximum,calculus,converge,diverge,limit
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
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