MAT135H1 Lecture Notes - Lecture 6: Inverse Function Theorem, Product Rule, Inverse Function

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: natalia Christina Garcia

Document Summary

Mat135h1 f - lecture 6 - calculus 1(a) Example 1: find derivative of f x( ) = x 2 + 1 x 3 + 4. Have to use both chain and product rules. )6 f " x( ) = 7 x 2 + 1. F x( ) = f " xf xf x( ) ) d dx xf xf x( ) ) + x f xf x( ) d dx. ) + x f " xf x( ) ) 1 f x( ) + x f " x( ) ) f f 2( ) f 1( ) = 6 3 + 5 2 + 4 f 1( ) ) f 1( ) + f " 1( ) ) f 2( ) + f " 2( ) 2 + f " 1( ) Used to calculate the derivative of f 1 for a function f (x)