Session 21: Review for Exam 1

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Overview

By combining general rules for taking derivatives of sums, products, quotients, and compositions with techniques like implicit differentiation and specific formulas for derivatives, we can differentiate almost any function we can think of.

Lecture Video and Notes

Video Excerpts

» Clip 1: Differentiation Formulas (00:05:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Chain Rule, Revisited (00:05:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: d/dx (sec x) (00:02:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

» Clip 4: d/dx (ln(sec x)) (00:02:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

» Clip 5: d/dx (x10 + 8x)6 (00:04:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

» Clip 6: The Derivative of Everything? (00:02:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

» Clip 7: Key Concepts in Differentiation (00:16:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

 

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