Chain Rule With Partial Derivatives - Multivariable Calculus

This multivariable calculus video explains how to evaluate partial derivatives using the chain rule and the help of a tree diagram.

Triple Scalar Product:

Vector Equations of Lines:

The Equation of a Plane:

Planar Equation - 3 Points:

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Lines & Planes - Intersection:

Angle Between Two Planes:

Distance Between Point and Plane:

Chain Rule - Partial Derivatives:

Implicit Partial Differentiation:

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Directional Derivatives:

Limits of Multivariable Functions:

Double Integrals:

Local Extrema & Critical Points:

Absolute Extrema - Max & Min:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[additco]

Great video! At 3:52 dy/dt should be 15t^2.

[catcen]

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[AdrianGonzalezBlogs]

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[salinalamasl]

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[meat]

first problem's answer should be 15t^2, not 15t^3

[brandonprice]

everyone in the comments gaining some sort of ego boost for correcting a simple math error, but we are all here watching these videos cause we are lost in the first place 😂

[katkrasher]

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[waanochannel]

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[jamesa.]

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[georgesadler]

Professor Organic Chemistry Tutor, thank you for an awesome outline and analysis of the Chain Rule with Partial Derivatives in Multivariable Calculus/Calculus Three. Problem solving is always the key to understanding all the concepts/materials in Mathematics, Physics, Computer Science and Engineering. The Chain Rule is problematic from start to finish in Calculus Three. Thanks to the great viewers for finding and correcting the small error in the beginning of this video.

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[helnyxiscool]

I've never understood this concept in my life, but the tree diagram makes it so simple! I GET IT NOW AFTER ALL THIS TIME!!!

[boramawi]

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[muteahmdv]

Hello teacher,
Thanks to you, I can really get the main idea in calculus 3, watching your videos and solving questions from book, I got the topics very easily. I ask from you to teach us more about Claculus 3 with videos. At our university we are studying from Thomas' Claculus thirteenth edition, I hope you will teach more topics to us from Claculus 3. Without your teaching I really get hard to follow and study those topics. Best regards teacher, thank you

[ricric]

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