4.3 Derivatives and the Shape of a Graph

OpenStax Calculus Volume 1 — Section 4.3

Learning Objectives

  • Apply the first derivative test to classify critical points as local max, min, or neither

  • Determine intervals of increase and decrease using \(f'\)

  • Define concavity and determine concave up/down intervals using \(f''\)

  • Apply the second derivative test and find inflection points

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.