Reglas de Derivación

Derivada:

$$f'(x) = \lim_{\Delta x \to 0} \frac {f(x + \Delta x) - f(x)}{\Delta x}$$

Reglas Básicas:

$$f(x) = c \hspace{3em} y' = 0$$

$$f(x) = x \hspace{3em} y' = 1$$

$$f(x) = x^n \hspace{3em} y' = n x^{n-1}$$

$$f(x) = cf(x) \hspace{3em} y' = cf'(x)$$

$$f(x) = n \pm v \hspace{3em} y' = u' \pm v'$$

$$f(x) = uv \hspace{3em} y' = u'v + uv'$$

$$f(x) = \frac {u}{v} \hspace{3em} y' = \frac {u'v - uv'}{v^2}$$

$$f(x) = u^n \hspace{3em} y' = nu^{n-1} \cdot u'$$