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3.5: Exponenciales, logaritmos y funciones trigonométricas
https://espanol.libretexts.org/Matematicas/Calculo_informal_con_aplicaciones_a_las_ciencias_biologicas_y_ambientales_(Seacrest)/03%3A_Reglas_para_Derivados/3.05%3A_Exponenciales%2C_logaritmos_y_funciones_trigonom%C3%A9tricas
\[\begin{align*} -1 x^{-2} + 4\left(\frac{1}{x} \right) & = \frac{-1}{x^2} + \frac{4}{x} \\ & = \frac{-1}{x^2} + \frac{4}{x} \cdot \frac{x}{x} \\ & = \frac{-1}{x^2} + \frac{4x}{x^2} \\ & = \frac{4x - ... $\begin{align*} -1 x^{-2} + 4\left(\frac{1}{x} \right) & = \frac{-1}{x^2} + \frac{4}{x} \\ & = \frac{-1}{x^2} + \frac{4}{x} \cdot \frac{x}{x} \\ & = \frac{-1}{x^2} + \frac{4x}{x^2} \\ & = \frac{4x - 1}{x^2} \end{align*}$ $\begin{align*} \frac{d}{dx} \ \log_a(x) & = \frac{d}{dx} \ \frac{1}{\ln(a)} \ln(x) \\ & = \frac{1}{\ln(a)} \frac{d}{dx} \ \ln(x) \\ & = \frac{1}{\ln(a)} \cdot \frac{1}{x} \\ & = \frac{1}{\ln(a) \cdot x}. \end{align*}$

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