Misc 14 - Find derivative: sin (x + a) - Class 11 CBSE NCERT - Derivatives by formula - sin & cos


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


Misc 14 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): sin (x + a) Let f(x) = sin (x + a) = sin x . cos a + cos x . sin a = cos a (sin x) + sin a (cos x) So, f (x) = (cos a (sin x) + sin a (cos x)) = (cos a (sin x)) + (sin a (cos x)) = cos a (sin x) + sin a (cos x) = cos a cos x + sin a ( sin x) = cos a cos x sin a sin x = cos a cos x sin a sin x = cos (a + x) = cos (x + a) Hence f (x) = cos (x + a)

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