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If y=f(X) and ycos X +Xcos y=π for x€ (-r,r),where r>0,then the greatest integer less than the value of f"(0) is?
differentiating wrt x, we gety’cosx – ysinx+cosy – xy’siny=0differentiating wrt x again,y”cosx – y’sinx – y’siny=y’sinx+ycosx+y’siny+xy”siny+x(y’)^2*cosyto compute f”(0), put x=0y” – y’siny=y+y’sinyor y”=y+2y’sinyat x=0, y=π so, y”=πso, f”(0)=π
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