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

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

Grade:12

2 Answers

Rinkoo Gupta
askIITians Faculty 81 Points
9 years ago
lety1= x(sinx-cosx)

logy1=(sinx-cosx)logx

(1/y1)dy1/dx=(sinx-cosx)(1/x)+(logx)(cosx+sinx)

dy1/dx=x(sinx-cosx)[(sinx-cosx)/x+(logx)(cosx+sinx)]

hence,dy/dx=x(sinx-cosx)[(sinx-cosx)/x+logx(sinx+cosx)]+2x-2(x)-3

Thanks & Regards

Rinkoo Gupta

AskIITiansFaculty

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

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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