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

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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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