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)
taniska , 10 Years ago
Grade 12
Differential Calculus> if y=(x-1) log(x-1) – (x+1) log(x+1) prov...
3 AnswersRinkoo Gupta
Last Activity: 10 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
Last Activity: 10 Years ago
Hi
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
Riya gupta
Last Activity: 6 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
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