Misc 28 - Find derivative: x / 1 + tan x - Chapter 13 Class 11 - Derivatives by formula - other trignometric

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

Transcript

Misc 28 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): 1 + Let f (x) = 1 + Let u = x & v = 1 + tan x So, f(x) = f (x) = Using quotient rule f (x) = 2 Finding u & v u = x u = (x) = 1 & v = 1 + tan x v = (1 + tan x) = 0 + sec2 x = sec2 x Now, f (x) = = 2 = 1(1 + tan ) 2 ( ) (1 + tan ) 2 = + ( + )

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