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这张表该如何调整？

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这张表该如何调整？

我只想调整一下这里的表格。代码中的某些内容是将表格放在页面顶部，而不是设计的小节下方。此外，如果可能的话，在行之间添加一些水平和垂直空间。我非常感谢您的帮助。

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\documentclass[11pt]{article}

\usepackage[top=1in, bottom=1in,left=1in,right=1in]{geometry}
\usepackage{graphicx}
\usepackage[english]{babel}
\usepackage{circuitikz}
\usepackage{color}
\usepackage{listings}                       % for codes
\usepackage{amsmath}                        % for matrices 
\usepackage{amssymb}
\usepackage{array}
\usepackage{tikz}                           % for flowcharts
\usetikzlibrary{shapes.geometric, arrows}
\usepackage{tabu}
\usepackage{siunitx}
\usepackage{caption}

\begin{document}

\subsection{Derivatives and Integrals}

        \begin{description}

        \item[Derivatives]

        \item \hspace{0.5in} Derivatives are used to analyse the rate in which a variable changes its value related with another, if it is fast, slow or non-existent. Some examples are: the body response due to a drug dosage or the cost of a production due to the quantity of any special material used.

        \item \hspace{0.5in} The derivative of a function $f(x)$ related to the variable $x$ is the                                         function $f'$ which value in $x$ is defined by:

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

        \item \hspace{0.5in} One of the most important use of the derivatives is to know in what point              $c$ a function reach its maximum and minimum values, which can be found by:

        $$f'(c) = 0$$ 

        \item[Useful Derivatives]

        \end{description}        

        \begin{center}
        \begin{table}
        \begin{tabular}{l l}

        $y = u^n \Rightarrow y' = n \ u^{n-1} \ u'$ & $y = u^v \Rightarrow y' = v \ u^{v-1} \ u' + u^v \ (ln \ u) \ v'$ \\
        $y = uv \Rightarrow y' = vu'+uv'$ & $y = sin \ u \Rightarrow y' = u' \ cos \ u$ \\
        $y = \displaystyle{\frac{u}{v}} \Rightarrow y' = \displaystyle{\frac{vu'-uv'}{v^2}}$ & $y = cos \ u \Rightarrow y' = -u' \ sin \ u$ \\
        $y = a^u \Rightarrow y' = a^u \ (ln \ a) \ u'$ & $y = tan \ u \Rightarrow y' = u' \ sec^2u$ \\
        $y = log_au \Rightarrow y' = \displaystyle{\frac{u'}{u}} log_a e$ & $y = sec \ u \Rightarrow y' = u' \ sec \ u  \ tan \ u$

        \end{tabular}
        \end{table}
        \end{center}

\end{document}

答案1

以下是我对设置您提供的信息的建议：

在此处输入图片描述

\documentclass{article}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath,indentfirst}
\setcounter{secnumdepth}{0}
\begin{document}

\section{Derivatives and Integrals}

\subsection{Derivatives}

Derivatives are used to analyse the rate in which a variable changes its value related with another, if it is fast, slow or non-existent. Some examples are: the body response due to a drug dosage or the cost of a production due to the quantity of any special material used.

The derivative of a function~$f(x)$ related to the variable~$x$ is the function~$f'$ which value in~$x$ is defined by:
\[
  f'(x) = \frac{d}{dx} f(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}
\]

One of the most important use of the derivatives is to know in what point~$c$ a function reach its maximum and minimum values, which can be found by:
\[
  f'(c) = 0
\]

\subsection{Useful Derivatives}

\[
  \begin{array}{l @{\quad\Rightarrow\quad} l @{\qquad} l @{\quad\Rightarrow\quad} l}
    y = u^n & y' = n u^{n-1} u' & y = u^v & y' = v u^{v-1} u' + u^v (\ln u) v' \\
    y = uv & y' = vu' + uv' & y = \sin u & y' = u' \cos u \\
    y = \dfrac{u}{v} & y' = \dfrac{vu'-uv'}{v^2} & y = \cos u & y' = -u' \sin u \\
    y = a^u & y' = a^u (\ln a) u' & y = \tan u & y' = u' \sec^2u \\
    y = \log_a u & y' = \dfrac{u'}{u} \log_a e & y = \sec u & y' = u' \sec u \tan u
  \end{array}
\]

\end{document}

请注意，我使用了数学运算符\tan、\sin、\cos、\sec和 ，\log并且\ln没有强制数学变量周围的间距。让 TeX 为您完成这项工作。

另外，不要使用繁琐的条目化，而是description根据部门单位进行设置。您可以通过设置secnumdepth( 为 0；只对章节进行编号，而文章中没有章节) 来打开/关闭编号。

最后，无需table环境即可设置tabular。相反，由于您希望“数学”水平居中，因此我使用了带有 的tabular显示数学\[... 。\]array

答案2

以下是与示例代码的表格部分相关的建议。我建议创建一个表格，提供一个标题行，并删除所有y =、y' =和\Rightarrow内容，以便读者专注于要点。array列中的材料自动设置为模式，并通过设置为（默认值：）来\displaystyle模拟 TeX 显示的方程式的外观。\arraystretch1.51.0

在此处输入图片描述

\documentclass{article}
\usepackage{array} % for "\newcolumntype" macro
\newcolumntype{L}{>{\displaystyle}l} % automatic \displaystyle
\begin{document}
\[
\renewcommand\arraystretch{1.5}  % simulate spacing of displayed equations
  \begin{array}{@{} L @{\quad} L @{\qquad\quad} L @{\quad} L @{}}
    $Function$  & $Derivative$          & $Function$ & $Derivative$\\
    u^n         & n u^{n-1} u'          & u^v        & v u^{v-1} u' + u^v (\ln u) v' \\
    uv          & vu' + uv'             & \sin u     & u' \cos u \\
    \frac{u}{v} & \frac{vu'-uv'}{v^2}   & \cos u     & -u' \sin u \\
    a^u         & a^u (\ln a) u'        & \tan u     & u' \sec^2u \\
    \log_a u    & \frac{u'}{u} \log_a e & \sec u     & u' \sec u \tan u \\
  \end{array}
\]
\end{document}

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