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Grade: 12
        
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
4 years ago

Answers : (2)

Rinkoo Gupta
askIITians Faculty
80 Points
							


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

4 years ago
Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
							Hi
I'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

4 years ago
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