# Quotient Rule

## Reference > Calculus: Differentiation

 Description$(\frac{f}{g})'=\frac{f'g-fg'}{{g}^{2}}$
 Examples$\frac{d}{dx} \frac{\sin{x}}{{x}^{2}}$1 Use the Quotient Rule to find the derivative of $$\frac{\sin{x}}{{x}^{2}}$$The quotient rule states that $$(\frac{f}{g})'=\frac{f'g - fg'}{{g}^{2}}$$$\frac{{x}^{2}(\frac{d}{dx} \sin{x})-\sin{x}(\frac{d}{dx} {x}^{2})}{{x}^{4}}$2 The derivative of $$\sin{x}$$ is $$\cos{x}$$$\frac{{x}^{2}\cos{x}-\sin{x}(\frac{d}{dx} {x}^{2})}{{x}^{4}}$3 Apply the Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$$\frac{{x}^{2}\cos{x}-2x\sin{x}}{{x}^{4}}$Done(x^2*cos(x)-2*x*sin(x))/x^4