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


  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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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.