Session 30: Second Derivative Test

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Overview

In this session you will:

• Watch two lecture video clips and read board notes
• Read course notes and examples
• Review an example
• Work with a Mathlet to reinforce lecture concepts
• Watch a recitation video
• Do problems and use solutions to check your work

Lecture Video

Video Excerpts

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/f421b1ffd4e74c27763158c569af4582_MIT18_02SC_L10Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bde290b16f41b4c3aed261255b8f3e78_MIT18_02SC_L10Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/98dab53a41965395eda5978ddb614824_MIT18_02SC_L10Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5df670cb077564d9617bdf89bbf7f6dc_MIT18_02SC_L10Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/30789126bd7b8415089db5429a9987c8_MIT18_02SC_L10Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ff1bf24e744dd0fb17d67f326951b85c_MIT18_02SC_L10Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6dfd6696bf53cdb5572b48077403b943_MIT18_02SC_L10Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6b2d2cca99d132539a61ff50a2d10a2b_MIT18_02SC_L10Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/1f465a3f33a262b71e5e568140235db0_MIT18_02SC_L10Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5ab572ce20548ee2422a4816b20b3216_MIT18_02SC_L10Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/b6edd086fc40e033e9bb5e261a31f0da_MIT18_02SC_L10Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/199d89530ad0a7423e6a7d4b30ea1ca3_MIT18_02SC_L10Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/14ff61446333c085853c6f87cc58457b_MIT18_02SC_L10Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/1cd19848d38b7de6d26bf3813a517eb4_MIT18_02SC_L10Brds_8.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/8992993508574db5fa41999561fc37bf_MIT18_02SC_L10Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/a65d1cd6b5e22f95e94dd47f6ae31292_MIT18_02SC_L10Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e1dc7f3bf3f69ea044e350042dd7dd9d_MIT18_02SC_L10Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/87bb73a4b95c601d5794284e24573982_MIT18_02SC_L10Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e84af28c38e349417cf2d1de599389de_MIT18_02SC_L10Brds_11.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5d1dd5a2241ece0aac60b7226c6af2ee_MIT18_02SC_L10Brds_12a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ba1a0fe8f1861e1d700e2bf82981fae8_MIT18_02SC_L10Brds_12.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/d763d6a2de3d947da3d07ea38d57e1ec_MIT18_02SC_L10Brds_13.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/1d745590471af6db6957f4ab7926f6fd_MIT18_02SC_L10Brds_14a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6a15ce1293efdb6af7316e2386253253_MIT18_02SC_L10Brds_14.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7ffd59a260878d99350668055589cf17_MIT18_02SC_L10Brds_15a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/900d7e510ba47e9d64877ef2636741bf_MIT18_02SC_L10Brds_15.png)

Related Readings

Second Derivative Test (PDF)

Examples

Second Derivative Test (PDF)

Related Resources

Functions of Two Variables Mathlet

Recitation Video

Second Derivative Test

Problems and Solutions

Problems: Second Derivative Test (PDF)

Solutions (PDF)

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