MAT135H1 Lecture Notes - Lecture 12: Scilab, Septuagint, 32X

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

Document Summary

Mat135h1 f - lecture 12 - calculus 1(a) Example 1: lim x 1 x135 1 x 1. L"hopital"s rule: x135 1 x 1. Can also solve as differential equation, using definition of derivative: f x( ) f a( ) f " a( ) = , f x( ) = x135 x a x135 1 x 1 f " 1( ) = lim x 1 f " x( ) = 135 x134 = 135. Example 2: find dy dx for cos x 3 + y3. ) 3x 2 + 3y2 dy dx. = 2 y2 + 2xy dy. ) = 2y2 + 4 xy dx dy dx. 3x 2 sin x 3 + y3 sin x 3 + y3. 4 xy dy sin x 3 + y3. 4 xy + 3y2 sin x 3 + y3. ) = 3x 2 sin x 3 + y3 dy dx.