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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"

Register for a session to review this topic with a small group of learners.

Calculus · series session

Applying derivatives to analyze functions

Unit 5
Bring any questions you have on this topic!

Jingxuan L

0
9/20

Calculus · series session

Applying derivatives to analyze functions

In this session, we will be covering some applications of derivatives like finding critical points, minimums, maximums, and concavity. We will also cover some AP Calculus MCQs.

Advait S

0
9/15

Calculus · series session

Applying derivatives to analyze functions

In this session, we will be covering graphing complex functions by using derivatives. Then, we will start covering integration.

Advait S

0
9/15

Calculus · series session

Applying derivatives to analyze functions

Unit 5 of the AP Calculus AB and BC course. You will learn about EVT, IVT, MVT, finding critical points, and the first and second derivative tests.

Sahasra J

0
4/20

Calculus · series session

Applying derivatives to analyze functions

We will solve problems from Unit 5 of the AP Calculus AB and BC course. This will include problems with EVT, IVT, MVT, finding critical points, and the first and second derivative tests.

Sahasra J

0
4/20

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