Question

if x+y =sin(x+y) then dy/dx=

Answer 1

$diffrentate \: with \: respect \: to \: x \\ 1 + (dy \div dx) = \cos(x + y) (1 + dy \div dx) \\ 1 + (dy \div dx) = \cos(x + y) + \cos(x + y) dy \div dx \\ dy \div dx - \cos(x + y )dy \div dx = \cos(x + y) - 1 \\ dy \div dx = \cos(x + y) - 1 \div - ( \cos(x + y) - 1) \\ dy \div dx = - 1$