Calculus 1000A/B Lecture Notes - Lecture 10: Differentiation Rules

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Pei Yu

Document Summary

Reminders: quiz 2 is open until 9:00 pm on thurs. 2. 6: quiz 3 will open at 9 am on monday oct. 16th, today: 3. 3. Also we have (sin x) = cos x (cos x) = sin x (tan x) = (sec x)2, (cot x) = (csc x)2 (csc x) = csc x cot x, (secx) = secx tan x. For example, (tan x) = ( sin x cos x (sin x) cos x sin x(cos x) (cos x)2 cos x cos x sin x( sin x) (cos x)2 (cos x)2 + (sin x)2 (cos x)2. 1 (cos x)2 = (secx)2 (secx) = ( 1 cos x 1 (cos x) (cos x)2. 0 cos x 1 ( sin x) (cos x)2 sin x (cos x)2 = sin x cos x. We observe: from this fact it follows that lim x 0 cos x 1 x.