MAT135H1 Lecture 17: MAT135 - Lecture 17 - Chain Rule Part Three
27 Oct 2018
School
Department
Course
Professor
MAT135H1 verified notes
17/39View all
Document Summary
Mat135 - lecture 17 - chain rule part three. Suppose g is differentiable at and f is differentiable at g ( ). In leibniz notation, if = f ( u ) is differentiable at u = g ( ) is differentiable at then dy dx dy dx du du. (the rate of of z with respect to ) = (the rate of of z with respect to ) (the rate of of with respect to ) Consider the most outer shell for the equation. Of f ( ) = f ( g ( h ( ))) is f ( g ( h ( ))) h ( ) . = f ( g ( h ( ))) ( g ( h ( ) df dx ( g ( h ( ) (2 3 ^ 4 ^ t ) A: d dt (2 3 ^ 4 ^ t )
