" 11."cos^(-1){(cos x+sin x)/(sqrt(2))},-(pi)/(4)

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Differentiate the functions with respect to x:cos^(-1){(cos x+sin x)/(sqrt(2))},-(pi)/(4)

Differentiate cos^(^^)(-1){(cos x+sin x)/(sqrt(2))},-pi/4

Find the derivative of cos^(-1)((sin x +cos x)/(sqrt(2))),(-pi)/(4)lt x lt (pi)/(4) .

Differentiate cos^(-1) ((sin x + cos x)/(sqrt2)), - (pi)/(4) lt x lt (pi)/(4)

Differentiate the following function with respect to x:sin^(-1){(sin x+cos x)/(sqrt(2))}-(3 pi)/(4)

cos^(-1)((sin x+cos x)/(sqrt(2))),(pi)/(4) lt x lt (5pi)/4

Express sin^(-1)((sin x+ cos x)/(sqrt2)) , where -(pi)/(4) lt x lt (pi)/(4) , in the simplest form.

cos x-sin x = sqrt (2) cos (x + (pi) / (4))

Prove that cos^-1 ((sin x + cos x )/(sqrt2)) = x - (pi/4), (pi/4) le x le ((5pi)/4)