# Misc 18 - Chapter 13 Class 11 Limits and Derivatives

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc 18 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): sec x 1 sec x + 1 Let f (x) = sec x 1 sec x + 1 Let u = sec x 1 & v = sec x + 1 f(x) = So, f (x) = Using quotient rule f (x) = 2 Finding u & v u = sec x 1 u = (sec x 1) = sec x tan x 0 = sec x tan x & v = sec x + 1 v = sec x tan x + 0 = sec x tan x f (x) = = 2 = ( sec tan ) ( sec + 1) ( sec tan ) ( sec 1) ( sec x + 1 ) 2 = sec . tan [( sec + 1) ( sec 1)] ( sec x + 1 ) 2 = sec . tan ( sec + 1 sec + 1 ) ( sec x + 1 ) 2 = sec . tan (1 + 1 + sec sec ) ( sec x + 1 ) 2 = sec tan (2 + 0) ( sec + 1 ) 2 = 2 sec tan ( sec + 1 ) 2 Hence f (x) = ( + )

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.