Session 32: Total Differentials and the Chain Rule

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Overview

In this session you will:

• Watch a lecture video clip and read board notes
• Review an example
• 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/a40329958a2be8a6f70907c34566d3f7_MIT18_02SC_L11Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/fd30c4fe2b047b9246491b6aca2114a6_MIT18_02SC_L11Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/2713e2b490cfa00d2ad6d47f471c604b_MIT18_02SC_L11Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/3354adca8155f15bdce8b917a2ed8c16_MIT18_02SC_L11Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/80ac969832467ddaf4196b0da0db8ffd_MIT18_02SC_L11Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/ec93caf547e614c7a97533d0aa096d8f_MIT18_02SC_L11Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9dbea420fd18a9d357220e305fdfc414_MIT18_02SC_L11Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/30f0a36c8cac4192de97cddf3e376464_MIT18_02SC_L11Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/0f5898f1f817f385c56f181d57e54aa2_MIT18_02SC_L11Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9a92310816e9134b187b649f7ff3a6fc_MIT18_02SC_L11Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/6a21ba9d0afa76c93e7348741283cdc6_MIT18_02SC_L11Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/e77ab5b4d1fc17cfaab31e1bae5e5228_MIT18_02SC_L11Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/5bec257dc89967cac050ea524963d7e7_MIT18_02SC_L11Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/30b633f664386c2e4f8052666e1dc424_MIT18_02SC_L11Brds_8.png)

Examples

Chain Rule and Total Differentials (PDF)

Problems and Solutions

Problems: Chain Rule and Total Differentials (PDF)

Solutions (PDF)

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