MATH 203 Lecture 7: Class notes 7_203

• School: Concordia University
• Department: Mathematics
• Course: MATH 203
• Professor: All

Document Summary

Class 7_203: inverse trig functions. (a) d du arcsin u x. # sin x f (x) = u = sin x du dx (cid:0)! = cos x arcsin u y = f (cid:0)1 (u) y = x dy du. 1 p1 (cid:0) u2 dy dx dy du du dx ! = 1 dy dx cos x ! dy du. 1 p1 (cid:0) u2 (b) d du arctan u x. # tan x f (x) = u = tan x du dx (cid:0)! 1 u2 + 1 arctan u y = f (cid:0)1 (u) y = x dy dx d du (c) dy du du dx ! = 1 dy (cid:0)! dx sec2 x ! dy du. # sec x f (x) = u = sec x arcsec u y = f (cid:0)1 (u) y = x dy dx dy du du dx ! = 1 (cid:0)! sec x tan x ! dy du.