Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The differential coefficient of log (tan x) is <div class='qna-opti

The differential coefficient of log (tan x) is 

Option: 1

2 sec 2x


Option: 2

2 coesec 2x


Option: 3

2sec2x


Option: 4

2cosec2x


Answers (1)

best_answer

\begin{aligned} & \frac{d}{d x} \log (\tan x)=\frac{1}{\tan x} \cdot \sec ^2 x \\ & =\frac{\cos x}{\sin x} \cdot \frac{1}{\cos ^2 x}=\frac{1}{\sin x \cos x} \\ & =\frac{2}{2 \sin x \cos x}=\frac{2}{\sin 2 x}=2 \operatorname{cosec} 2 x \end{aligned}

Hence (B) is correct answer.

Posted by

avinash.dongre

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

How to crack JEE Mains 2025 in 1 month? Follow study plan, revise high-score topics, experts advice
anam-khan

IIT JEE aspirant from Bihar found hanging in Kota hostel; 17th suicide this year
anam-khan

JEE Main 2025 just a month away; section-wise preparation tips, important topics, strategies

Latest Question