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Applications of Derivatives: Tangents, Extrema, and Curve Sketching

11th Grade · Math · Open Global Math

8 lessons

Goal

Construct tangent and normal lines, classify local and global extrema, and sketch complex transcendental curves.

8 lessons
0 of 8 done
  1. Finding Equations of Tangents to CurvesUp next
  2. Finding Equations of Normals to CurvesNot started yet
  3. Intervals of Increase, Decrease, and Local ExtremaNot started yet
  4. Locating Stationary Points on Polynomial and Rational CurvesNot started yet
  5. Locating Stationary Points on Exponential and Trigonometric CurvesNot started yet
  6. Global Extrema on Closed and Bounded IntervalsYou are here
  7. Curve Sketching with Exponential, Logarithmic, and Trigonometric FunctionsNot started yet
  8. Applied Optimization in Geometry and EconomicsNot started yet
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Learning standards covered

GlobalOGM.12.CAL.3Open Global Math Standards 2026™ · 11th Grade

Apply differentiation to find equations of tangents and normals, identify intervals of increase/decrease, locate and classify stationary points (local/global extrema, points of inflection), and differentiate implicitly and parametrically.