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
Register for a session to review this topic with a small group of learners.
Af
Calculus · series session
Applying derivatives to analyze functions
Theorems, maxima, minima, concavity, and increasing/decreasing behavior of a function through its derivatives!
SL
LG
Luca G
0
12/200
Af
Calculus · series session
Applying derivatives to analyze functions
This session will cover the mean value theorem, extrema and methods to find them, and concavity.
NK
Noah K
0
0/20
Af
Calculus · series session
Applying derivatives to analyze functions
5.1 - What is the MVT?
5.2 - What is the EVT?
5.3 - How can we use derivatives to determine intervals where a function is increasing/decreasing?
5.4 - How can we use the first derivative to find local maxes and mins?
5.5 - What’s different with the candidates test?
BL
WB
William B
0
7/50
Af
Calculus · series session
Applying derivatives to analyze functions
5.6 - What is concavity? How can we determine concavity across an interval?
5.7 - How can we use a second derivative to find local maxes and mins?
5.8 - Can you sketch the relative graph of a function if given a derivative?
5.9 - What’s important about:
The first derivative?
The second derivative?
5.10 and 5.11 - How can we optimize a value in a certain situation?
5.12 - What’s a critical point?
BL
WB
William B
0
7/50
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