Example 18 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
Example 18 Compute the derivative of f(x) = sin2 x. Let f(x) = sin2 x f(x) = sin x sin x Let u = sin x & v = sin x So, f(x) = uv Now, f’(x) = (uv)’ Using Product rule f’(x) = u’v + v’u Finding u’ & v’ u = sin x u’ = cos x & v = sin x v’= cos x Now, f(x) = (uv)’ = u’ v + v’ u = cos x . sin x + cos x sin x = 2cos x sin x = sin 2x Hence, f’(x) = sin 2x.
Examples (Term 1 and Term 2)
Example 2 Important
Example 3 Important
Example 4
Example 5
Example 6
Example 7 Important
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17 Important
Example 18 You are here
Example 19 Important
Example 20 (i) Important
Example 20 (ii)
Example 21 Important
Example 22 Important
Examples (Term 1 and Term 2)
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