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Second Derivatives and Beyond
Home
Calculus
Second Derivatives and Beyond
Topics
Extreme Points and How to Find Them
First Derivative Test
Intro
Topics
Examples
Exercises
Terms
Best of the Web
Quizzes
Handouts
Topics
Second Derivatives via Formulas
Third Derivatives and Beyond
Concavity
Concave Up
Concave Down
No Concavity
Special Points
Critical Points
Points of Inflection
Extreme Points and How to Find Them
Finding & Classifying Extreme Points
First Derivative Test
Second Derivative Test
Local vs. Global Points
Using Derivatives to Draw Graphs
Finding Points
Finding Shapes
Connecting the Dots
In the Real World
I Like Abstract Stuff; Why Should I Care?
How to Solve a Math Problem
Table of Contents
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First Derivative Test
Sample Problem
Below is a graph of a function
f
with a minimum at
x
= x
0
. Determine the sign of the derivative
f
' at each labelled
x
-value.
Below is a graph of a function
f
with a maximum at
x
= x
0
. Determine the sign of the derivative
f
' at each...
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Second Derivative Test
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Finding & Classifying Extreme Points