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ExploreCalculusApplying derivatives to analyze functions

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Calculus

Applying derivatives to analyze functions

  • Using the mean value theorem
  • Extreme value theorem, global versus local extrema, and critical points
  • Determining intervals on which a function is increasing or decreasing
  • Using the first derivative test to find relative (local) extrema
  • Using the candidates test to find absolute (global) extrema
  • Determining concavity of intervals and finding points of inflection: graphical
  • Determining concavity of intervals and finding points of inflection: algebraic
  • Using the second derivative test to find extrema
  • Sketching curves of functions and their derivatives
  • Connecting a function, its first derivative, and its second derivative
  • Solving optimization problems
  • Exploring behaviors of implicit relations
  • Calculator-active practice

Small-group help sessions in "Applying derivatives to analyze functions"

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Calculus · series session

Applying derivatives to analyze functions

You will use derivatives for optimization, as well as carrying along with applying derivatives to real world scenarios!

Sam F and Isahi S

0
14/20

Calculus · series session

Applying derivatives to analyze functions

Introduction to second derivatives and concavity

Rodas G

0
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