Find the 100th derivative of f(x)=xsin(x)f(x) = x \sin(x)f(x)=xsin(x).
xsin(x)−100cos(x)x \sin(x) - 100 \cos(x)xsin(x)−100cos(x)
xsin(x)+100cos(x)x \sin(x) + 100 \cos(x)xsin(x)+100cos(x)
xcos(x)−100sin(x)x \cos(x) - 100 \sin(x)xcos(x)−100sin(x)
xsin(x)+50cos(x)x \sin(x) + 50 \cos(x)xsin(x)+50cos(x)