Find the derivative of f(x)=sin(x)+cos(x)f(x) = \sin(x) + \cos(x)f(x)=sin(x)+cos(x).
cos(x)−sin(x)\cos(x) - \sin(x)cos(x)−sin(x)
sin(x)+cos(x)\sin(x) + \cos(x)sin(x)+cos(x)
−sin(x)+cos(x)-\sin(x) + \cos(x)−sin(x)+cos(x)
−cos(x)−sin(x)-\cos(x) - \sin(x)−cos(x)−sin(x)