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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

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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Calculus · series session

Applying derivatives to analyze functions

Applying Derivatives to Analyze Functions

Sara Y

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Calculus · series session

Applying derivatives to analyze functions

Applications of the derivative

Sara Y

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Calculus · session

critical points on curves

We'll go over problems to do with understanding curves

William W

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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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Calculus · series session

Applying derivatives to analyze functions

Even more complicated derivative applications

Keira L

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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.

Calculus · series session

Applying derivatives to analyze functions

In this next session, we will go over the second and final part of applications of derivatives, which is applying them to an analytical application. In this session, we will explore the topics of relative extrema, concavity, and more and do practice problems! After this session, we will be done with derivatives! Note: this session will be a little longer.

Hunter N

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

This class will cover the basics of analyzing functions with derivatives.

Avaneesh M

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Let's answer this question: How can we use derivatives to describe functions? How can we apply derivatives to real world questions?

Brian W

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Calculus · series session

Applying derivatives to analyze functions

Today we'll be covering... *drumroll*... Mean Value Theorem! It's the meanest theorem you'll use in Calculus and, warning, it might make you cry. No, just kidding. It's actually pretty essential to know for the AP Test, so in this lesson you'll see it for the first time and for many more times to follow. As usual, we'll be going over practice problems together.

Caleb K

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

In this next session, we will go over the second and final part of applications of derivatives, which is applying them to an analytical application. In this session, we will explore the topics of relative extrema, concavity, and more and do practice problems! Note: this session will be a little longer.

Hunter N

0
Session ended.

Calculus · session

Extrema in Polynomials

This session was created for Jessica A to go over some test review questions.

Sophia D

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Calculus · session

Usages of Derivatives

If you need any help with derivatives, I can help.

Kevin D

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

TBD

Vince K

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Covers Mean Value Theorem, Extreme Value Theorem, First and Second Derivative Tests, and optimization problems.

Pranav I

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Calculus · session

Optimization Problems

We will be going over optimization problems in calculus. This session was created for Princess G, but anyone is free to join!

Sophia D

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Session ended.

Calculus · session

Optimization Problems

We will be going over optimization problems in calculus. This session was created for Princess G, but anyone is free to join!

Sophia D

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

We’ll review all of the differentiation rules we covered in the first three sessions first. Then, we’ll look at derivative curves, understand the concept of concavity and cover how to find the coordinates of stationary points using differentiation. This session will also explore how to find the equations of tangents and normals to curves at various points.

Rahul S

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

In this next session, we will go over the second and final part of applications of derivatives, which is applying them given an analytical application. In this session, we will explore the topics of relative extrema, concavity, and more and do practice problems!

Hunter N

0
Session ended.

Calculus · session

Usages of derivatives

If you need any help with derivatives, I can assist you.

Kevin D

0
Session ended.

Calculus · series session

Applying derivatives to analyze functions

Continuation of unit 5

Siddharth P

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Session ended.

Calculus · series session

Applying derivatives to analyze functions

Continuation of unit 5.

Siddharth P

0
Session ended.

That's it for now!

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