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