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differentiate the following function with respect to x e^(x) sin x/(x^2 +2)^3

 
differentiate the following function with respect to x
e^(x) sin x/(x^2 +2)^3

Grade:12

2 Answers

Rinkoo Gupta
askIITians Faculty 81 Points
9 years ago

y=(exsinx)/(x2+2)3
diff. w. r. to x
dy/dx=[(x2+2)3{excosx+sinx.ex}-(exsinx)3(x2+2)2.2x]/(x2+2)6
=[ex(x2+2)(sinx+cosx)-6xexsinx]/(x2+2)4


Thanks & Regards
Rinkoo Gupta
AskIITians Faculty


Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hi

Applying chain rule.


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

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