Grade 12Differential Calculus
differentiate the following function with respect to xtan^-1(x – a/x+a)
differentiate the following function with respect to x
tan^-1(x – a/x+a)
2 Answers
Rinkoo Gupta
y=tan-1{(x-a)/(x+a)}
dy/dx=1/[1+{(x-a)/(x+a)}2].[{(x+a).1-(x-a).1}/(x+a)2]
=(x+a)2/(x+a)2+(x-a)2.[2a/(x+a)2]
=2a/2(x+a)2
=a/(x+a)2Thanks & Regards
Rinkoo Gupta
AskIITians faculty
Arun Kumar
Hi
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
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