Concavity, Inflection Points and Second Derivatives - good examples of algebraic work involved

Concavity, Inflection Points and Second Derivatives - good examples of algebraic work involved

Graphs of the Derivatives with Boom Cards™ for Calculus My students Love Task Cards and when I created BOOM Cards for them, it was magic. These Digital Self-Checking Boom Cards are great way for students to practice the identifying the graphs of the first and second derivative and get immediate feedback, so useful in learning to analyze.

Graphs of the Derivatives with BOOM Cards Digital 1:1 Calculus plus Organizer

Graphs of the Derivatives with Boom Cards™ for Calculus My students Love Task Cards and when I created BOOM Cards for them, it was magic. These Digital Self-Checking Boom Cards are great way for students to practice the identifying the graphs of the first and second derivative and get immediate feedback, so useful in learning to analyze.

A YouTube video from Khan Academy: Recognizing inflection points from second derivative graph #learn

A YouTube video from Khan Academy: Recognizing inflection points from second derivative graph #learn

Identifying Graphs of 1st and 2nd Derivatives (Activity)

Identifying Graphs of First and Second Derivatives Activity

All About Derivatives by Michael P. Durbin - Excellent introduction to financial derivatives for beginners.

All About Derivatives Second Edition (All About Series), a book by Michael Durbin

Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. Th...

Calculus: How are the Graphs of f, f ', and f " interrelated?

Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function.

Using Implicit Differentiation to find a Second Derivative - YouTube

Using Implicit Differentiation to find a Second Derivative

Identify the Function, First, and Second Derivatives using GEOGEBRA!!!

Identify the Function, First, and Second Derivatives using GEOGEBRA!

Calculus: Second Derivative Test

Calculus: Second Derivative Test

This lesson is intended for AP Calculus AB, BC, and Calculus Honors students.

Guided inquiry activity - Students use a straightedge and learn to graph the derivative of a function.  They draw conclusions about the degree of the function and investigate second derivatives.

Graphing the Derivative of a Function: Inquiry Activity

Guided inquiry activity - Students use a straightedge and learn to graph the derivative of a function. They draw conclusions about the degree of the function and investigate second derivatives.

Topic for November 18, 2013: Simplifying algebraic fractions into lowest term by factoring difference of two squares and factoring perfect trinomial square in terms of (x + y) and 3. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Topic for December Solving differential equation for an algebraic rational function by separation of variables. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

This lesson covers the second derivative test for concavity and points of inflection.  Algebraically and given a graph.

Applications of Differentiation Lesson 4 of 7

This lesson covers the second derivative test for concavity and points of inflection. Algebraically and given a graph.

This lesson has the students apply the first and second derivative tests and check for asymptotes and then sketch what the graph looks like.

Applications of Differentiation Lesson 6 of 7

This lesson has the students apply the first and second derivative tests and check for asymptotes and then sketch what the graph looks like.

Second derivative - Wikipedia

Animated illustration of inflection point (gif) - blue = pos, green = neg red= zero

Not an April Fools Joke - Here is a great activity for Calculus students to see how one graph can describe another graph.  There is a relationship between graphs of f , the derivative of f and the second derivative graph.A great activity for Calculus AP.  A GIVEAWAY promotion for How Can One Graph Help Describe Another Graph

Not an April Fools Joke - Here is a great activity for Calculus students to see how one graph can describe another graph. There is a relationship between graphs of f , the derivative of f and the second derivative graph.A great activity for Calculus AP. A GIVEAWAY promotion for How Can One Graph Help Describe Another Graph

What do you understand by concavity and the second derivative test? Before moving to this, first start with Concavity as you can’t understand anything about second derivative test without learning concavity. Suppose f is differentiable on an open interval I. The graph of f is concave upward on I if the f' is increasing on the interval or f'' is positive in the interval I.

Concavity and the Second Derivative Test

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