2.5.2: Second Derivative Test
Take notes as you watch the video, starting at the 4:35 mark. Listen to the presentation carefully until you are able to understand how the second derivative test is used to find inflection points.
Read this section on the second derivative test. Watch the video within the section. At the end of the instruction, you should be able to apply the second derivative test to determine inflection point and intervals of concave up and concave down of the function. Complete review questions 1-9 at the bottom of the page. These exercises will provide you with the opportunity to apply the second derivative test. The solutions to these problems are located here.
Complete this activity, which tests your knowledge on derivatives using the definition with slope and limits. You can review the concepts associated with these questions with the Khan Academy videos in the "Stuck? Watch a Video" section (or review other content within the section). Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. Work through all of the problems.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to understand all of the parts of the problem from the Calculus AB Exam.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to understand all of the parts of the problem from the Calculus AB Exam.