If y=cos inverse (sinx+cosx/ root 2) where - pi/4<x<pi/4, then find dy/dx.

Dear Student,

Please find below the solution to the asked query :

Let y = cos-1sin x + cos x2y = cos-112 . sin x + 12. cos xy = cos-1sinπ4 . sin x + cosπ4 . cos xy = cos-1cosπ4 - xy = π4 - xdydx = -1

Hope this would clear your doubt.

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