Example 16 - Chapter 12 Class 11 Limits and Derivatives

Last updated at Dec. 16, 2024 by

Example 16 - Compute derivative of sin x - Chapter 13 Class 11 - Derivatives by formula - sin & cos

Example 16 - Chapter 13 Class 11 Limits and Derivatives - Part 2
Example 16 - Chapter 13 Class 11 Limits and Derivatives - Part 3

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Example 16 Compute the derivative of sin x. Let f (x) = sin x We need to find f (x) We know that f (x) = lim h 0 f x + h f(x) h Here, f (x) = sin x So, f (x + h) = sin ( x + h) Putting values f (x) = lim h 0 + h Using sin A sin B = 2 cos + 2 . sin 2 = lim h 0 + + . + h = lim h 0 2 + 2 . 2 h = lim h 0 cos 2 + 2 . sin 2 2 = lim h 0 cos 2 + 2 . = lim h 0 cos 2 + 2 1 = lim h 0 cos 2 + 2 Putting h = 0 = cos 2 +0 2 = cos 2 2 = cos x f (x) = cos x

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo