MAT135H1 Lecture 16: MAT135 - Lecture 16 - Chain Rule Part Two
23 Oct 2018
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Mat135 - lecture 16 - chain rule part two. 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 ) Find f "( ) if f ( ) = e x + 1. Find the derivative of g ( u ) and f ( ) then combine the derivatives. G "( u ) = 1 / 2 u. E x + 1 is e / 2. Find f "( ) if f ( ) = 1 / 3 x3 + x + 1. F ( ) = 1 / 3 x3 + x + 1. U = 3 + + 1.
