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

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Rinkoo Gupta · Answer

Y=cos -1 x/v(x 2 +a 2 ) Dy/dx=-[1/v1-{x/v(x 2 +a 2 )} 2 ].[{v(x 2 +a 2 ).1-x.2x/v(x 2 +a 2 )}/(x 2 +a 2 )] =-a/(x 2 +a 2 ) Thanks & Regards Rinkoo Gupta AskIITians Faculty

Arun Kumar · Answer

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

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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

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

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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

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

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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