Directional der Study guides, Class notes & Summaries

This document provides notes for Chain Rule, Directional Derivatives, and Gradient Vectors for Multivariable Calculus/ Calculus 3 students. The textbook Calculus: Early Transcendentals is referenced.

As we advance more into calculus with multivariable functions and other topics I feel that facts tend to become more difficult. My notes provide important formulas and examples, now you might be thinking anybody can make notes with same problems, but my notes really show a way how problems should be solved. I am a tutor myself and I know if the students are lost so I want to help them feel successful in understanding the material. I feel my notes will clear concepts for students.

Partial derivatives is the most essential part of multivariable calculus. This document deals with directional derivatives which are partial derivatives in any direction.

Molecular motors = large aggregates of motor proteins that utilize chemical derived from ATP Undergo cyclic conformational changes accumulating into unified, directional force. Force = pulls apart chromosomes in a dividing cell, or force that levers mammoths into motion. Interactions among motor proteins = complementary arrangements of ionic, H-bonding, hydrophobic, van der Waals interactions at protein binding sites.