AI Tutor

Premium Lesson

Upgrade to unlock this lesson, practice questions, and your personal tutor.

This lesson is part of a track

Public learning track

Applications of Derivatives: Extrema and Optimization

12th Grade · Math · Open Global Math

7 lessons

Goal

Determine tangent and normal equations, find extrema, analyze curve behavior, and solve real-world optimization problems.

7 lessons
0 of 7 done
  1. Equations of Tangents and Normals to Explicit CurvesUp next
  2. Tangents and Normals to Implicitly Defined CurvesNot started yet
  3. Intervals of Increase, Decrease, and Local ExtremaNot started yet
  4. Curve Sketching with Exponential, Logarithmic, and Trigonometric FunctionsNot started yet
  5. Applied Optimization: Geometric Area and Volume ProblemsNot started yet
  6. Applied Optimization: Economic and Cost Minimization ModelsNot started yet
  7. Applied Optimization: Distance, Time, and Kinematic ProblemsYou are here
View full track

Learning standards covered

GlobalOGM.13.CAL.4Open Global Math Standards 2026™ · 12th Grade

Apply differentiation to determine equations of tangents and normals, identify stationary points, local extrema, intervals of increase and decrease, solve optimization problems, and analyze connected rates of change.