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Applications of Differentiation

11th Grade · Math · UK A-Level

5 lessons

Goal

Apply first and second derivatives to analyze curve geometry, classify stationary points, optimize physical systems, and solve connected rate problems.

5 lessons
0 of 5 done
  1. Second Derivatives, Concavity, and Points of InflectionUp next
  2. Classifying Stationary Points and ExtremaNot started yet
  3. Optimisation in Geometric and Physical ContextsNot started yet
  4. Connected Rates of Change ProblemsYou are here
  5. Interpreting Derivatives in Unstructured ContextsNot started yet
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Learning standards covered

gbOT2.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade

[Recognise the underlying mathematical structure in a situation and simplify and abstract appropriately to enable problems to be solved]

Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
gbOT2.2General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade

[Construct extended arguments to solve problems presented in an unstructured form, including problems in context]

Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
gbOT3.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade

[Translate a situation in context into a mathematical model, making simplifying assumptions]

Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
gbOT3.3General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade

[Interpret the outputs of a mathematical model in the context of the original situation (for a given model or a model constructed or selected by the student)]

Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
GlobalOGM.12.PRC.1
GlobalOGM.13.PRF.2