MATH UN1102 Lecture Notes - Lecture 28: Partial Derivative, Arc Length, Effy Stonem

• School: Columbia University
• Department: Mathematics
• Course: MATH UN1102
• Professor: Nathan Dowlin

Document Summary

Through hw 4 ( partial derivatives ) We write him fix i = l x p provided if ix. y ) - ll can be made arbitrarily small if is sufficiently small . l x - pl. Rates of change himflx. yl-flaiblcx. gs ( x , y y - la , b y. A group of hikers follows a curving path up a mountain ridge . Computing partial derivatives compute by in question as constant . treating all variables except the variable. Ex i f- ( x y - sin ( x - ay )) f- x cx ly ) = 2x y - ws ( x - ily ) Ex ) f- ( x y y - sin ( x - ay )) f- y (x , y ) = X "t 2 cos ( x - vy ) d- z2tan"lvx2. = 1 ( fx ) y (0 ) First partial derivative : rate of change.