Misc 15 - Find derivative: cosec x cot x - Chapter 13 Limits - Derivatives by formula - other trignometric

Misc 15 - Chapter 13 Class 11 Limits and Derivatives - Part 2



Misc 15 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): cosec x cot x Let f(x) = cosec x cot x Let u = cosec x & v = cot x So, f(x) = uv f (x) = (uv) Using product rule f (x) = u v + v u Finding u & v u = cosec x u = cosec x cot x v = cot x v = cosec2x Now, f (x) = (uv) = u v + v u = cosec x cot x (cot x) + ( cosec2x) (cosec x) = cosec x . cot2 x cosec3x = cosec3x cosec x cot2x

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.