Example 16 - Chapter 12 Class 11 Limits and Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
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
Examples
Example 1 (ii)
Example 1 (iii)
Example 2 (i)
Example 2 (ii) Important
Example 2 (iii) Important
Example 2 (iv)
Example 2 (v)
Example 3 (i) Important
Example 3 (ii) Important
Example 4 (i)
Example 4 (ii) Important
Example 5
Example 6
Example 7 Important
Example 8
Example 9
Example 10 Important
Example 11
Example 12
Example 13 Important
Example 14
Example 15 Important
Example 16 You are here
Example 17 Important
Example 18
Example 19 (i) Important
Example 19 (ii)
Example 20 (i)
Example 20 (ii) Important
Example 21 (i)
Example 21 (ii) Important
Example 22 (i)
Example 22 (ii) Important
About the Author
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