Calculus

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$\begin{displaymath}\frac{d t^n}{ d t} = n t^{n-1} \end{displaymath}$

$\begin{displaymath}\frac{d \ell n\, t}{dt} = \frac{1}{t} \end{displaymath}$

and

$\begin{displaymath}\frac{d e^t}{dt} = e^t \end{displaymath}$

$\begin{displaymath}\frac{d\, \ell n\, f(t)}{dt} = \frac{1}{f(t)}\frac{df(t)}{dt} \end{displaymath}$

$\begin{displaymath}\frac{d e^{f(t)}}{dt} = e^{f(t)}\frac{d f(t)}{d t} \end{displaymath}$

1998-05-11