Differentiate y=sinxx2y = \frac{\sin x}{x^2}y=x2sinx using the quotient rule.
xcosx−2sinxx3\frac{x\cos x - 2\sin x}{x^3}x3xcosx−2sinx
x2cosx−2xsinxx4\frac{x^2\cos x - 2x\sin x}{x^4}x4x2cosx−2xsinx
cosx2x\frac{\cos x}{2x}2xcosx
x2cosx+2xsinxx4\frac{x^2\cos x + 2x\sin x}{x^4}x4x2cosx+2xsinx