lesson
Locating and Classifying Points of Inflection
Find and confirm points of inflection where a curve changes between concave and convex, distinguishing inflection from stationary points.
Updated 1 month ago · 3 views
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This lesson is part of a track
Public learning track
Analyzing Functions and Curves with Derivatives
6 lessons
Goal
Use first and second derivatives to sketch gradient graphs, identify concavity, classify points of inflection, and model rates of change.
6 lessons
0 of 6 done
- Calculating and Interpreting Second DerivativesUp next
- Sketching the Gradient Function from a GraphNot started yet
- Identifying Convex and Concave Regions of CurvesNot started yet
- Locating and Classifying Points of InflectionYou are here
- Identifying Strictly Increasing and Decreasing IntervalsNot started yet
- Evaluating Instantaneous Rates of Change in Physical ModelsNot started yet
Learning standards covered
G1Michigan Social Studies Standards · 5th GradeThe World in Spatial Terms
Open Global Standard:OGM.12.CAL.1OGM.13.CAL.1
G3General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Apply differentiation to find gradients, tangents and normals, maxima and minima and stationary points], points of inflection [Identify where functions are increasing or decreasing]
Open Global Standard:OGM.12.CAL.3OGM.13.CAL.4
OGM.12.CAL.1OGM.13.CAL.1OGM.12.CAL.3OGM.13.CAL.4