Calculus Solutions Ex# 3.2

Formulas: Derivatives of logarithmic functions.   $$ \begin{aligned} & \text { (1) } \frac{d}{d x}[\ln x]=\frac{1}{x}, \quad x>0 \\ \\ & \text { (2) } \frac{d}{d x}\left[\log _{b}^{x}\right]=\frac{1}{x \ln b}, x>0 \end{aligned} $$ Generalized derivative formulas. $$ \begin{aligned} & \text { (1) } \frac{d}{d x}[\ln u]=\frac{1}{u} \frac{d u}{d x} \\ \\ & \text { (2) … Read more