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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 ProblemsYou are here
  6. Applied Optimization: Economic and Cost Minimization ModelsNot started yet
  7. Applied Optimization: Distance, Time, and Kinematic ProblemsNot started yet
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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.