0

Guest

Courses New

if f(x)=cos -1 [1-(log x) 2 ]/[1+(log x) 2 ] then the value of f’(e)= 1 1/e 2/e 2/e 2

if f(x)=cos-1[1-(log x)2]/[1+(log x)2] then the value of f’(e)=
  1. 1
  2. 1/e
  3. 2/e
  4. 2/e2

Grade:11

1 Answers

Arun
25750 Points
4 years ago
 
Dear student
 
let log x = tan theta
 
hence f(x) = cos^-1 (cos 2 theta) = 2 theta = 2 tan^-1 (logx)
 
hence f’(x) = 2/x(1 + (logx)^2)
 
f’(e) = 2/ e(2) = 1/e

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More