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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

Last day of the series! We will take the final unit test and look at some real AP exam problems from previous tests

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Last day of the series! We will take the final unit test and look at some real AP exam problems from previous tests

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Today we will continue to practice optimization

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Today we will be looking at optimization word problems

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

We will solve problems from Unit 5 of the AP Calculus AB and BC course.

Sahasra J

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Today we will be finding concavity using the 2nd derivative

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Today we will be finding critical points and extrema using the candidates test and sign charts.

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

First day of the series! Today we will be looking at the Mean Value Theorem (MVT), which is used in many AP exam problems.

Shriram N

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Unit 5 of the AP Calculus AB and BC course.

Sahasra J

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

In this session, we will be going over the bulk of applications of derivatives. This session will be a bit longer than usual.

Advait S

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Session ended.

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

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Session ended.

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
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Unit 5
Bring any questions you have on this topic!

Jingxuan L

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Session ended.

Calculus · session

Emily's AP Calc Unit 5 Review

We'll go over practice problems and concepts in AP Calculus Unit 5 (with a focus on optimization!)

Diana M

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

More derivatives, word problems, practice

Dylan P

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

A review of what exactly a derivative is and how/why the rules are what they are. We will discuss applications here.

Shawn C

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Some more of what we learned last week, but getting a bit more complicated. Unfortunately this'll be our last session for a little bit (I'm busy the next two Sundays), but we'll start again in March with integral calculus!

Joshua L

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

We'll go over a topical past paper of unit 5

Kritan S

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Applying Derivatives to Analyze Functions

Sara Y

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Applications of the derivative

Sara Y

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Session ended.

Calculus · session

critical points on curves

We'll go over problems to do with understanding curves

William W

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Session ended.

Calculus · session

Derivatives in Usage and Fuctions

This session will teach how derivatives will be used in a real world situation and to analyze a function. (also, if you want I can help with integration)

Kevin D

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Even more complicated derivative applications

Keira L

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

This class will continue what we started with analyzing graphs with derivatives, and then we will also talk about a very interesting concept called optimization.

Avaneesh M

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Session ended.

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