0

Guest

Courses New

if y=(x-1) log(x-1) – (x+1) log(x+1) prove that dy/dx=log(x-1/1+x)

if y=(x-1) log(x-1) – (x+1) log(x+1) prove that dy/dx=log(x-1/1+x)

Grade:12

3 Answers

Rinkoo Gupta
askIITians Faculty 81 Points
9 years ago
dy/dx=(x-1)/(x-1)+log(x-1).1 -{(x+1)/(x+1)+log(x+1).1
=1+log(x-1)-1-log(x+1)
=log((x-1)/(x+1))

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hi

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

Riya gupta
11 Points
5 years ago
dy/dx=(x-1)log(x-1)-(x+1)log(x+1)
After solving it using quotient rule
I.e f(x).g(x)=f(x) d/dx g(x) + g(x) d/dx f(x)
 
dy/dx=(1+log(x-1))-(1+log(x+1))
dy/dx=log(x-1)-log(x+1)
 
Now using property {logapq=logap-logaq}
 
Final answer=log(x-1/x+1)=RHS

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