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Example 18 - Compute derivative of f(x) = sin2 x - Chapter 13 - Derivatives by formula - other trignometric

Example 18  - Chapter 13 Class 11 Limits and Derivatives - Part 2


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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.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.