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differentiate the following function with respect to x(1)cos^-1(x/sqrt(x^2+a^2))(2)sin^-1(sinx + cos x/sqrt(2)), -3pi/4(3)cos^-1(cos x + sin x/sqrt(2)), -pi/4(4)tan^-1(x/1+sqrt(1-x^2)), -1
Y=cos-1x/v(x2+a2)Dy/dx=-[1/v1-{x/v(x2+a2)}2].[{v(x2+a2).1-x.2x/v(x2+a2)}/(x2+a2)]=-a/(x2+a2)Thanks & RegardsRinkoo GuptaAskIITians Faculty
Y=cos-1x/v(x2+a2)
Dy/dx=-[1/v1-{x/v(x2+a2)}2].[{v(x2+a2).1-x.2x/v(x2+a2)}/(x2+a2)]
=-a/(x2+a2)
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
HiI'll solve only first question for the rest make another post.Substitue to get the answer.Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
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