Basic Computing

对数

$\ln xy = \ln x + \ln y$

$\ln x/y = \ln x - \ln y$ $\ln x^{a} = a \ln x$ $\ln \sqrt[a]{x} = \frac{1}{a}\ln x$

-w1003

$\frac{d \log _{a} x}{d x} =\frac{1}{x \ln a}$

$\frac{d \ln x}{d x} = \frac{1}{x}$

$\frac{d\left(a^{x}\right)}{d x}=a^{x} \ln a$

$\frac{d\left(e^{x}\right)}{d x}=e^{x}$