Instructional Video4:07
Brian McLogan

Applying the second derivative test to a table of values

12th - Higher Ed
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Instructional Video3:25
Brian McLogan

What is concavity of a graph

12th - Higher Ed
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
AP Test Prep19:26
1
1
Flipped Math

Calculus AB/BC - Determining Concavity of Functions over Their Domains

10th - 12th
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
AP Test Prep9:02
1
1
Flipped Math

Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

10th - 12th
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
AP Test Prep11:42
1
1
Flipped Math

Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives

10th - 12th
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....
AP Test Prep14:15
1
1
Flipped Math

Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative

10th - 12th
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...
Instructional Video7:07
Krista King Math

Inflection Points and Concavity

11th - Higher Ed
Confused about concavity? Here's the perfect video. Young mathematicians watch a video that explains the process of using the second derivative to determine inflection points and the concavity of a function. An example reinforces the...
Instructional Video7:11
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Educator.com

Newton's Method and Inflection Point

11th - Higher Ed
The inflection point, the point where the second derivative is zero, is the focus of a video  that works through a problem where it is not obvious to see the roots of a function. The solution to the problem requires using...
Instructional Video
Khan Academy

Khan Academy: Graphing With Derivatives

9th - 10th
Using the first and second derivatives to identify critical points and inflection points to graph the function.
Instructional Video