Calculate the derivative of f(x)=xsin(x)f(x) = x \sin(x)f(x)=xsin(x) using the product rule.
sin(x)+xcos(x)\sin(x) + x \cos(x)sin(x)+xcos(x)
sin(x)−xcos(x)\sin(x) - x \cos(x)sin(x)−xcos(x)
cos(x)+xsin(x)\cos(x) + x \sin(x)cos(x)+xsin(x)
xcos(x)x \cos(x)xcos(x)