Example 16 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Examples (Term 1 and Term 2)
Example 1 (i)
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
Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Serial order wise
- Ex 13.1 (Term 1)
- Ex 13.2 (Term 2)
-
Examples (Term 1 and Term 2)
- Miscellaneous (Term 1 and Term 2)
Transcript
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
