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Question

Find the values of b for which the function f(x) = sin x − bx + c is a decreasing function on R.

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Solution

fx=sin x-bx+cf'x=cos x-bGiven: fx is decreasing on R.f'x<0, xRcos x-b<0, xRcos x-b<0,xR cos x<b, xR b1 -1cos x1

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