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Explore CalculusApplying 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

Sessions

Additional Resources

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

Calculus · series session

Applying derivatives to analyze functions

Sat Oct 19, 7:00 AM

Here, we will use our knowledge on derivatives and apply them to real-world problems, starting with the first derivitave test!

Shivali C

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Mon Oct 14, 1:00 AM

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

Sam F and Isahi S

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Wed Sep 4, 12:00 AM

Optimization

Cencen W

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Wed Aug 21, 12:00 AM

Mean value theorem, optimization, graph behavior, etc.

Cencen W

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Sat Aug 17, 12:00 AM

!

Arhan J

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Thu Aug 15, 1:00 AM

!

Arhan J

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Tue Aug 13, 1:00 AM

continuing unit 5

Arhan J

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Thu Aug 8, 1:00 AM

Starting unit 5

Arhan J

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Mon Aug 5, 11:00 PM

This session will cover the mean value theorem, extrema and methods to find them, and concavity.

Noah K

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Mon Aug 5, 7:00 PM

Theorems, maxima, minima, concavity, and increasing/decreasing behavior of a function through its derivatives!

Luca G

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Fri Aug 2, 11:30 PM

We will continue to review optimization.

Jonathan L

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Wed Jul 31, 11:30 PM

We will cover optimization problems.

Jonathan L

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Mon Jul 29, 11:30 PM

Optimization

Jonathan L

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Sun Jul 28, 11:30 PM

Analyzing second derivative

Jonathan L

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Sun Jul 21, 3:00 PM

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

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Sat Jul 20, 3:00 PM

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

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Fri Jul 19, 3:00 PM

Today we will continue to practice optimization

Shriram N

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Thu Jul 18, 3:00 PM

Today we will be looking at optimization word problems 

Shriram N

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Wed Jul 17, 3:00 PM

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

Sahasra J

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Wed Jul 17, 3:00 PM

Today we will be finding concavity using the 2nd derivative

Shriram N

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Tue Jul 16, 3:00 PM

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

Shriram N

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Mon Jul 15, 3:00 PM

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

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Sun Jul 14, 3:00 PM

Unit 5 of the AP Calculus AB and BC course. 

Sahasra J

Session ended.

Calculus · series session

Applying derivatives to analyze functions

Tue Jul 9, 11:00 PM

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

Session ended.

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