Misc 28
Last updated at March 9, 2017 by Teachoo
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): 𝑥1 + 𝑡𝑎𝑛𝑥 Let f (x) = 𝑥1 + 𝑡𝑎𝑛𝑥 Let u = x & v = 1 + tan x So, f(x) = 𝑢𝑣 ∴ f’(x) = 𝑢𝑣′ Using quotient rule f’(x) = 𝑢′𝑣 − 𝑣′𝑢 𝑣2 Finding u’ & v’ u = x u’ = (x)’ = 1 & v = 1 + tan x v’ = (1 + tan x)’ = 0 + sec2 x = sec2 x Now, f’(x) = 𝑢𝑣′ = 𝑢′𝑣 − 𝑣′𝑢 𝑣2 = 1(1 + tan𝑥) − 𝑠𝑒𝑐2 𝑥 (𝑥) (1 + tan𝑥)2 = 𝟏 + 𝒕𝒂𝒏𝒙 − 𝒙 𝒔𝒆𝒄𝟐 𝒙 (𝟏 + 𝒕𝒂𝒏𝒙)𝟐
Miscellaneous
Misc 1
Important
Misc 2
Misc 3
Misc 4
Misc 5
Misc 6 Important
Misc 7
Misc 8
Misc 9 Important
Misc 10
Misc 11
Misc 12
Misc 13
Misc 14
Misc 15
Misc 16
Misc 17
Misc 18
Misc 19
Misc 20
Misc 21
Misc 22
Misc 23
Misc 24 Important
Misc 25
Misc 26
Misc 27 Important
Misc 28 Important You are here
Misc 29
Misc 30 Important
About the Author
CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .