MAT135H1 Lecture Notes - Lecture 7: Implicit Function, Power Rule, Net Force

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

Document Summary

Mat135h1 f - lecture 7 - calculus 1(a) 1 + e y x + e yx + ey 1 = 0. Multiply both sides by ey eyx + x + e2 y ey = 0 e2 y + ey 1 x. ) + x = 0 ey = ey = B b2 4ac x 1. 2 1( ) x 1 1 2x + x 2 4. 2 y = ln x 1 x 2 2x 3. Example 1: find dy dx tan x y y. 1 + x 2 d dx tan x y d dx sec2 x y. Example 2: find dx tan y = tan tan 1 x 2( 1 x 2 + 1 dy dx tan y dy dx tan tan 1 x 2( dy of y = tan 1 x 2( If f x( ) = a x, f " x( ) = a x ln a, f 1 x( ) = loga x.