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differentiate the following function with respect to x sin(1+x^2/1-x^2)

Β 
differentiate the following function with respect to x
sin(1+x^2/1-x^2)

Grade:12

2 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago

y=sin{(1+x2)/(1-x2)}

Diff. w. r. to x , we get
dy/dx=cos{(1+x2)/(1-x2)}[{(1-x2)(2x)-(1+x2).(-2x)}/(1-x2)2]
=cos{(1+x2)/(1-x2)}.{4x/(1-x2)2} Ans.

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hi
Applying chain rule.


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

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