Misc 19 - Find derivative: sinn x - Chapter 13 Class 11 CBSE - Derivatives by formula - sin & cos


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  1. Chapter 13 Class 11 Limits and Derivatives
  2. Serial order wise


Misc 19 Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): sinn x Let f(x) = sinn x. Let p = sin x So,f(x) = pn By Leibnitz product rule f’(x) = (pn)’ p’ = n pn – 1 p’ Putting p = sin x = n sinn – 1 x (sin x)’ = n sinn – 1 x (sin x)’ = n sinn – 1 x cos x Hence f’(x) = n sinn – 1 x cos x

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