3

I'd just like to adjust this table here. Something in the code is putting the table in the top of the page instead below the subsection designed. Moreover if possible, add some horizontal and vertical space between lines. I thank you for any help here.

enter image description here

\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}
  • For the table, try adding [h] after \begin{table}, as indicated in any basic documentation. [edited: misread the question] Note that it would probably have taken less time to look for the answers in the web than write this question! – anderstood Feb 11 '15 at 4:39
  • @anderstood when I put the \begin{table}[h] the table went to last page of the document. – Francisco Maerle Feb 11 '15 at 4:46
  • 1
    Drop the entire table environment, and just keep the tabular inside center. – Werner Feb 11 '15 at 4:51
  • 1
    The macro \displaystyle doesn't take an argument and thus also affects what comes after the math atom (math molecule?) encased by the subsequent {...}. I'd simply omit the pair of braces. If it's really important to limit the scope of \displaystyle (which I don't think is the case in the present examples), I'd write {\displaystyle ...}. – Mico Feb 11 '15 at 6:09
7

Here is my suggestion on setting the information you've provided:

enter image description here

\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}

Note how I've used the math operators \tan, \sin, \cos, \sec, \log and \ln and didn't force the spacing around the math variables. Let TeX do this for you.

Also, instead of the cumberson description itemization, set things according to sectional units. You can turn the numbering on/off by setting secnumdepth (to 0; number only up to chapter, which you don't have in an article).

Finally, there is no need for a table environment in order to set a tabular. Instead, since you want the "mathematical" tabular horizontally centred, I've used a display math \[...\] with an array.

  • More than perfectly answered!! Thank you even to the adjustments I was struggling with!! – Francisco Maerle Feb 11 '15 at 5:23
3

Here's a suggestion that pertains just to the table part of your example code. I suggest creating a table, providing a header row and stripping away all y =, y' =, and \Rightarrow matter to let the reader focus on the essentials. The material in the array columns is set in \displaystyle mode automatically, and the look of TeX's displayed equations is simulated by setting \arraystretch to 1.5 (default: 1.0).

enter image description here

\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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