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

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  1. Chapter 13 Class 11 Limits and Derivatives
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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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