Regla de Leibnitz

$$\quad \frac{d^n}{dx^n}(uv)= \frac{d^n u}{dx^n}v + \frac{n}{1!}\f... ...}\frac{d^{(n-2)} u}{dx^{(n-2)}}\frac{d^2 v}{dx^2}+ \cdots +u\frac{d^n v}{dx^n}$$ (32)

$$\quad D^{n}(uv)= \sum_{k=0}^{n}\binom{n}{k}(D^{k}u)(D^{n-k}v)$$ (33)

$$\quad \frac{d^2 }{dx^2}(uv)= \frac{d^2 u}{dx^2}v + 2\frac{du}{dx}\frac{dv}{dx}+u\frac{d^2 v}{dx^2}$$ (34)

$$\quad \frac{d^3 }{dx^3}(uv)= \frac{d^3 u}{dx^3}v + 3\frac{d^2 u}{dx^2}\frac{dv}{dx}+3\frac{du}{dx}\frac{d^2 v}{dx^2}+u\frac{d^3 v}{dx^3}$$ (35)